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Finding the Fourth Proportional to 752.74, 1,128.44 and 478.06

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Solution

The fourth proportional to 752.74, 1,128.44 and 478.06 is: 716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.74 : 1,128.44 = 478.06 : x
  2. Step 2: Convert to fraction form
    752.74/1,128.44 = 478.06/x
  3. Step 3: Cross multiply
    752.74x = 1,128.44 × 478.06
  4. Step 4: Simplify right side
    752.74x = 539,459.64
  5. Step 5: Solve for x
    x = 539,459.64/752.74
  6. Step 6: Final answer
    x = 716.66

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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.