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Finding the Fourth Proportional to 801.20, 1,195.98 and 704

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Solution

The fourth proportional to 801.20, 1,195.98 and 704 is: 1,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.20 : 1,195.98 = 704 : x
  2. Step 2: Convert to fraction form
    801.20/1,195.98 = 704/x
  3. Step 3: Cross multiply
    801.20x = 1,195.98 × 704
  4. Step 4: Simplify right side
    801.20x = 841,969.92
  5. Step 5: Solve for x
    x = 841,969.92/801.20
  6. Step 6: Final answer
    x = 1,050.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.