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Finding the Fourth Proportional to 747.08, 1,030.69 and 525.95

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Solution

The fourth proportional to 747.08, 1,030.69 and 525.95 is: 725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.08 : 1,030.69 = 525.95 : x
  2. Step 2: Convert to fraction form
    747.08/1,030.69 = 525.95/x
  3. Step 3: Cross multiply
    747.08x = 1,030.69 × 525.95
  4. Step 4: Simplify right side
    747.08x = 542,091.41
  5. Step 5: Solve for x
    x = 542,091.41/747.08
  6. Step 6: Final answer
    x = 725.61

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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.