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Finding the Fourth Proportional to 752.15, 1,128.67 and 477.25

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Solution

The fourth proportional to 752.15, 1,128.67 and 477.25 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.15 : 1,128.67 = 477.25 : x
  2. Step 2: Convert to fraction form
    752.15/1,128.67 = 477.25/x
  3. Step 3: Cross multiply
    752.15x = 1,128.67 × 477.25
  4. Step 4: Simplify right side
    752.15x = 538,653.74
  5. Step 5: Solve for x
    x = 538,653.74/752.15
  6. Step 6: Final answer
    x = 716.15

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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.