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Finding the Fourth Proportional to 747.02, 1,120.50 and 475.00

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Solution

The fourth proportional to 747.02, 1,120.50 and 475.00 is: 712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.02 : 1,120.50 = 475.00 : x
  2. Step 2: Convert to fraction form
    747.02/1,120.50 = 475.00/x
  3. Step 3: Cross multiply
    747.02x = 1,120.50 × 475.00
  4. Step 4: Simplify right side
    747.02x = 532,234.70
  5. Step 5: Solve for x
    x = 532,234.70/747.02
  6. Step 6: Final answer
    x = 712.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.