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Finding the Fourth Proportional to 752.60, 1,131.30 and 709.40

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Solution

The fourth proportional to 752.60, 1,131.30 and 709.40 is: 1,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.60 : 1,131.30 = 709.40 : x
  2. Step 2: Convert to fraction form
    752.60/1,131.30 = 709.40/x
  3. Step 3: Cross multiply
    752.60x = 1,131.30 × 709.40
  4. Step 4: Simplify right side
    752.60x = 802,544.22
  5. Step 5: Solve for x
    x = 802,544.22/752.60
  6. Step 6: Final answer
    x = 1,066.36

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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.