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Finding the Fourth Proportional to 746.31, 1,117.57 and 624.27

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Solution

The fourth proportional to 746.31, 1,117.57 and 624.27 is: 934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.31 : 1,117.57 = 624.27 : x
  2. Step 2: Convert to fraction form
    746.31/1,117.57 = 624.27/x
  3. Step 3: Cross multiply
    746.31x = 1,117.57 × 624.27
  4. Step 4: Simplify right side
    746.31x = 697,665.42
  5. Step 5: Solve for x
    x = 697,665.42/746.31
  6. Step 6: Final answer
    x = 934.82

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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.