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Finding the Fourth Proportional to 801.36, 1,199.88 and 752.76

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Solution

The fourth proportional to 801.36, 1,199.88 and 752.76 is: 1,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,199.88 = 752.76 : x
  2. Step 2: Convert to fraction form
    801.36/1,199.88 = 752.76/x
  3. Step 3: Cross multiply
    801.36x = 1,199.88 × 752.76
  4. Step 4: Simplify right side
    801.36x = 903,221.67
  5. Step 5: Solve for x
    x = 903,221.67/801.36
  6. Step 6: Final answer
    x = 1,127.11

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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.