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Finding the Fourth Proportional to 1,055.56, 1,583.34 and 286.12

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Solution

The fourth proportional to 1,055.56, 1,583.34 and 286.12 is: 429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.56 : 1,583.34 = 286.12 : x
  2. Step 2: Convert to fraction form
    1,055.56/1,583.34 = 286.12/x
  3. Step 3: Cross multiply
    1,055.56x = 1,583.34 × 286.12
  4. Step 4: Simplify right side
    1,055.56x = 453,025.24
  5. Step 5: Solve for x
    x = 453,025.24/1,055.56
  6. Step 6: Final answer
    x = 429.18

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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.