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Finding the Fourth Proportional to 752.84, 1,128.10 and 406.24

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Solution

The fourth proportional to 752.84, 1,128.10 and 406.24 is: 608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.84 : 1,128.10 = 406.24 : x
  2. Step 2: Convert to fraction form
    752.84/1,128.10 = 406.24/x
  3. Step 3: Cross multiply
    752.84x = 1,128.10 × 406.24
  4. Step 4: Simplify right side
    752.84x = 458,279.34
  5. Step 5: Solve for x
    x = 458,279.34/752.84
  6. Step 6: Final answer
    x = 608.73

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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.