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Finding the Fourth Proportional to 657.45, 906.19 and 499.91

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Solution

The fourth proportional to 657.45, 906.19 and 499.91 is: 689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 906.19 = 499.91 : x
  2. Step 2: Convert to fraction form
    657.45/906.19 = 499.91/x
  3. Step 3: Cross multiply
    657.45x = 906.19 × 499.91
  4. Step 4: Simplify right side
    657.45x = 453,007.66
  5. Step 5: Solve for x
    x = 453,007.66/657.45
  6. Step 6: Final answer
    x = 689.04

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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.