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Finding the Fourth Proportional to 758.68, 1,045.10 and 634.30

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Solution

The fourth proportional to 758.68, 1,045.10 and 634.30 is: 873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.68 : 1,045.10 = 634.30 : x
  2. Step 2: Convert to fraction form
    758.68/1,045.10 = 634.30/x
  3. Step 3: Cross multiply
    758.68x = 1,045.10 × 634.30
  4. Step 4: Simplify right side
    758.68x = 662,898.53
  5. Step 5: Solve for x
    x = 662,898.53/758.68
  6. Step 6: Final answer
    x = 873.76

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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.