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Finding the Fourth Proportional to 774.20, 1,159.96 and 645.03

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Solution

The fourth proportional to 774.20, 1,159.96 and 645.03 is: 966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.20 : 1,159.96 = 645.03 : x
  2. Step 2: Convert to fraction form
    774.20/1,159.96 = 645.03/x
  3. Step 3: Cross multiply
    774.20x = 1,159.96 × 645.03
  4. Step 4: Simplify right side
    774.20x = 748,205.77
  5. Step 5: Solve for x
    x = 748,205.77/774.20
  6. Step 6: Final answer
    x = 966.42

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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.