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Finding the Fourth Proportional to 746.10, 1,114.27 and 624.47

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Solution

The fourth proportional to 746.10, 1,114.27 and 624.47 is: 932.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.10 : 1,114.27 = 624.47 : x
  2. Step 2: Convert to fraction form
    746.10/1,114.27 = 624.47/x
  3. Step 3: Cross multiply
    746.10x = 1,114.27 × 624.47
  4. Step 4: Simplify right side
    746.10x = 695,821.05
  5. Step 5: Solve for x
    x = 695,821.05/746.10
  6. Step 6: Final answer
    x = 932.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.