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Finding the Fourth Proportional to 752.76, 1,032.48 and 710.91

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Solution

The fourth proportional to 752.76, 1,032.48 and 710.91 is: 975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,032.48 = 710.91 : x
  2. Step 2: Convert to fraction form
    752.76/1,032.48 = 710.91/x
  3. Step 3: Cross multiply
    752.76x = 1,032.48 × 710.91
  4. Step 4: Simplify right side
    752.76x = 734,000.36
  5. Step 5: Solve for x
    x = 734,000.36/752.76
  6. Step 6: Final answer
    x = 975.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.