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Finding the Fourth Proportional to 500.43, 689.15 and 498.91

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Solution

The fourth proportional to 500.43, 689.15 and 498.91 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.43 : 689.15 = 498.91 : x
  2. Step 2: Convert to fraction form
    500.43/689.15 = 498.91/x
  3. Step 3: Cross multiply
    500.43x = 689.15 × 498.91
  4. Step 4: Simplify right side
    500.43x = 343,823.35
  5. Step 5: Solve for x
    x = 343,823.35/500.43
  6. Step 6: Final answer
    x = 687.06

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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.