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Finding the Fourth Proportional to 1,055.35, 1,583.02 and 285.85

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Solution

The fourth proportional to 1,055.35, 1,583.02 and 285.85 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.35 : 1,583.02 = 285.85 : x
  2. Step 2: Convert to fraction form
    1,055.35/1,583.02 = 285.85/x
  3. Step 3: Cross multiply
    1,055.35x = 1,583.02 × 285.85
  4. Step 4: Simplify right side
    1,055.35x = 452,501.59
  5. Step 5: Solve for x
    x = 452,501.59/1,055.35
  6. Step 6: Final answer
    x = 428.77

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.