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Finding the Fourth Proportional to 748.38, 1,032.76 and 453.64

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Solution

The fourth proportional to 748.38, 1,032.76 and 453.64 is: 626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,032.76 = 453.64 : x
  2. Step 2: Convert to fraction form
    748.38/1,032.76 = 453.64/x
  3. Step 3: Cross multiply
    748.38x = 1,032.76 × 453.64
  4. Step 4: Simplify right side
    748.38x = 468,501.25
  5. Step 5: Solve for x
    x = 468,501.25/748.38
  6. Step 6: Final answer
    x = 626.02

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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.