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Finding the Fourth Proportional to 752.85, 1,127.66 and 607.05

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Solution

The fourth proportional to 752.85, 1,127.66 and 607.05 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.85 : 1,127.66 = 607.05 : x
  2. Step 2: Convert to fraction form
    752.85/1,127.66 = 607.05/x
  3. Step 3: Cross multiply
    752.85x = 1,127.66 × 607.05
  4. Step 4: Simplify right side
    752.85x = 684,542.97
  5. Step 5: Solve for x
    x = 684,542.97/752.85
  6. Step 6: Final answer
    x = 909.27

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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.