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Finding the Fourth Proportional to 752.47, 1,128.58 and 204.64

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Solution

The fourth proportional to 752.47, 1,128.58 and 204.64 is: 306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.47 : 1,128.58 = 204.64 : x
  2. Step 2: Convert to fraction form
    752.47/1,128.58 = 204.64/x
  3. Step 3: Cross multiply
    752.47x = 1,128.58 × 204.64
  4. Step 4: Simplify right side
    752.47x = 230,952.61
  5. Step 5: Solve for x
    x = 230,952.61/752.47
  6. Step 6: Final answer
    x = 306.93

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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.