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Finding the Fourth Proportional to 761.23, 1,050.96 and 499.71

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Solution

The fourth proportional to 761.23, 1,050.96 and 499.71 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.23 : 1,050.96 = 499.71 : x
  2. Step 2: Convert to fraction form
    761.23/1,050.96 = 499.71/x
  3. Step 3: Cross multiply
    761.23x = 1,050.96 × 499.71
  4. Step 4: Simplify right side
    761.23x = 525,175.22
  5. Step 5: Solve for x
    x = 525,175.22/761.23
  6. Step 6: Final answer
    x = 689.90

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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.