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Finding the Fourth Proportional to 862.06, 1,293.18 and 284.98

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Solution

The fourth proportional to 862.06, 1,293.18 and 284.98 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.06 : 1,293.18 = 284.98 : x
  2. Step 2: Convert to fraction form
    862.06/1,293.18 = 284.98/x
  3. Step 3: Cross multiply
    862.06x = 1,293.18 × 284.98
  4. Step 4: Simplify right side
    862.06x = 368,530.44
  5. Step 5: Solve for x
    x = 368,530.44/862.06
  6. Step 6: Final answer
    x = 427.50

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Half scale
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Double scale
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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.