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Finding the Fourth Proportional to 657.34, 906.42 and 509.62

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Solution

The fourth proportional to 657.34, 906.42 and 509.62 is: 702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.34 : 906.42 = 509.62 : x
  2. Step 2: Convert to fraction form
    657.34/906.42 = 509.62/x
  3. Step 3: Cross multiply
    657.34x = 906.42 × 509.62
  4. Step 4: Simplify right side
    657.34x = 461,929.76
  5. Step 5: Solve for x
    x = 461,929.76/657.34
  6. Step 6: Final answer
    x = 702.73

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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.