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Finding the Fourth Proportional to 782.87, 1,174.31 and 320.53

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Solution

The fourth proportional to 782.87, 1,174.31 and 320.53 is: 480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,174.31 = 320.53 : x
  2. Step 2: Convert to fraction form
    782.87/1,174.31 = 320.53/x
  3. Step 3: Cross multiply
    782.87x = 1,174.31 × 320.53
  4. Step 4: Simplify right side
    782.87x = 376,402.25
  5. Step 5: Solve for x
    x = 376,402.25/782.87
  6. Step 6: Final answer
    x = 480.80

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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.