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Finding the Fourth Proportional to 646.62, 892.62 and 499.74

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Solution

The fourth proportional to 646.62, 892.62 and 499.74 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.62 : 892.62 = 499.74 : x
  2. Step 2: Convert to fraction form
    646.62/892.62 = 499.74/x
  3. Step 3: Cross multiply
    646.62x = 892.62 × 499.74
  4. Step 4: Simplify right side
    646.62x = 446,077.92
  5. Step 5: Solve for x
    x = 446,077.92/646.62
  6. Step 6: Final answer
    x = 689.86

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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.