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Finding the Fourth Proportional to 501, 686.52 and 494.16

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Solution

The fourth proportional to 501, 686.52 and 494.16 is: 677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 686.52 = 494.16 : x
  2. Step 2: Convert to fraction form
    501/686.52 = 494.16/x
  3. Step 3: Cross multiply
    501x = 686.52 × 494.16
  4. Step 4: Simplify right side
    501x = 339,250.72
  5. Step 5: Solve for x
    x = 339,250.72/501
  6. Step 6: Final answer
    x = 677.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.