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Finding the Fourth Proportional to 857.46, 1,286.25 and 424.50

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Solution

The fourth proportional to 857.46, 1,286.25 and 424.50 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.46 : 1,286.25 = 424.50 : x
  2. Step 2: Convert to fraction form
    857.46/1,286.25 = 424.50/x
  3. Step 3: Cross multiply
    857.46x = 1,286.25 × 424.50
  4. Step 4: Simplify right side
    857.46x = 546,013.13
  5. Step 5: Solve for x
    x = 546,013.13/857.46
  6. Step 6: Final answer
    x = 636.78

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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.