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Finding the Fourth Proportional to 657.14, 906.47 and 424.27

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Solution

The fourth proportional to 657.14, 906.47 and 424.27 is: 585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 906.47 = 424.27 : x
  2. Step 2: Convert to fraction form
    657.14/906.47 = 424.27/x
  3. Step 3: Cross multiply
    657.14x = 906.47 × 424.27
  4. Step 4: Simplify right side
    657.14x = 384,583.49
  5. Step 5: Solve for x
    x = 384,583.49/657.14
  6. Step 6: Final answer
    x = 585.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.