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Finding the Fourth Proportional to 752.68, 1,036.26 and 519.40

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Solution

The fourth proportional to 752.68, 1,036.26 and 519.40 is: 715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.68 : 1,036.26 = 519.40 : x
  2. Step 2: Convert to fraction form
    752.68/1,036.26 = 519.40/x
  3. Step 3: Cross multiply
    752.68x = 1,036.26 × 519.40
  4. Step 4: Simplify right side
    752.68x = 538,233.44
  5. Step 5: Solve for x
    x = 538,233.44/752.68
  6. Step 6: Final answer
    x = 715.09

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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.