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Finding the Fourth Proportional to 752.15, 1,128.72 and 505.31

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Solution

The fourth proportional to 752.15, 1,128.72 and 505.31 is: 758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.15 : 1,128.72 = 505.31 : x
  2. Step 2: Convert to fraction form
    752.15/1,128.72 = 505.31/x
  3. Step 3: Cross multiply
    752.15x = 1,128.72 × 505.31
  4. Step 4: Simplify right side
    752.15x = 570,353.50
  5. Step 5: Solve for x
    x = 570,353.50/752.15
  6. Step 6: Final answer
    x = 758.30

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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.