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Finding the Fourth Proportional to 752.66, 1,038.32 and 472.74

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Solution

The fourth proportional to 752.66, 1,038.32 and 472.74 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.66 : 1,038.32 = 472.74 : x
  2. Step 2: Convert to fraction form
    752.66/1,038.32 = 472.74/x
  3. Step 3: Cross multiply
    752.66x = 1,038.32 × 472.74
  4. Step 4: Simplify right side
    752.66x = 490,850.91
  5. Step 5: Solve for x
    x = 490,850.91/752.66
  6. Step 6: Final answer
    x = 652.16

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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.