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Finding the Fourth Proportional to 752.91, 1,128.81 and 460.47

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Solution

The fourth proportional to 752.91, 1,128.81 and 460.47 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.91 : 1,128.81 = 460.47 : x
  2. Step 2: Convert to fraction form
    752.91/1,128.81 = 460.47/x
  3. Step 3: Cross multiply
    752.91x = 1,128.81 × 460.47
  4. Step 4: Simplify right side
    752.91x = 519,783.14
  5. Step 5: Solve for x
    x = 519,783.14/752.91
  6. Step 6: Final answer
    x = 690.37

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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.