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Finding the Fourth Proportional to 752.20, 1,036.26 and 706.84

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Solution

The fourth proportional to 752.20, 1,036.26 and 706.84 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.20 : 1,036.26 = 706.84 : x
  2. Step 2: Convert to fraction form
    752.20/1,036.26 = 706.84/x
  3. Step 3: Cross multiply
    752.20x = 1,036.26 × 706.84
  4. Step 4: Simplify right side
    752.20x = 732,470.02
  5. Step 5: Solve for x
    x = 732,470.02/752.20
  6. Step 6: Final answer
    x = 973.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.