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Finding the Fourth Proportional to 657.16, 906.49 and 424.28

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Solution

The fourth proportional to 657.16, 906.49 and 424.28 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.16 : 906.49 = 424.28 : x
  2. Step 2: Convert to fraction form
    657.16/906.49 = 424.28/x
  3. Step 3: Cross multiply
    657.16x = 906.49 × 424.28
  4. Step 4: Simplify right side
    657.16x = 384,605.58
  5. Step 5: Solve for x
    x = 384,605.58/657.16
  6. Step 6: Final answer
    x = 585.26

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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.