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Finding the Fourth Proportional to 747.85, 1,029 and 614.56

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Solution

The fourth proportional to 747.85, 1,029 and 614.56 is: 845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.85 : 1,029 = 614.56 : x
  2. Step 2: Convert to fraction form
    747.85/1,029 = 614.56/x
  3. Step 3: Cross multiply
    747.85x = 1,029 × 614.56
  4. Step 4: Simplify right side
    747.85x = 632,382.24
  5. Step 5: Solve for x
    x = 632,382.24/747.85
  6. Step 6: Final answer
    x = 845.60

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1.5x scale

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.