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Finding the Fourth Proportional to 610.62, 842.04 and 499.74

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Solution

The fourth proportional to 610.62, 842.04 and 499.74 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.62 : 842.04 = 499.74 : x
  2. Step 2: Convert to fraction form
    610.62/842.04 = 499.74/x
  3. Step 3: Cross multiply
    610.62x = 842.04 × 499.74
  4. Step 4: Simplify right side
    610.62x = 420,801.07
  5. Step 5: Solve for x
    x = 420,801.07/610.62
  6. Step 6: Final answer
    x = 689.14

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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.