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Finding the Fourth Proportional to 752.99, 1,128.67 and 492.17

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Solution

The fourth proportional to 752.99, 1,128.67 and 492.17 is: 737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.99 : 1,128.67 = 492.17 : x
  2. Step 2: Convert to fraction form
    752.99/1,128.67 = 492.17/x
  3. Step 3: Cross multiply
    752.99x = 1,128.67 × 492.17
  4. Step 4: Simplify right side
    752.99x = 555,490.64
  5. Step 5: Solve for x
    x = 555,490.64/752.99
  6. Step 6: Final answer
    x = 737.72

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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.