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Finding the Fourth Proportional to 752.92, 1,039.12 and 458.22

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Solution

The fourth proportional to 752.92, 1,039.12 and 458.22 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.92 : 1,039.12 = 458.22 : x
  2. Step 2: Convert to fraction form
    752.92/1,039.12 = 458.22/x
  3. Step 3: Cross multiply
    752.92x = 1,039.12 × 458.22
  4. Step 4: Simplify right side
    752.92x = 476,145.57
  5. Step 5: Solve for x
    x = 476,145.57/752.92
  6. Step 6: Final answer
    x = 632.40

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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.