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Finding the Fourth Proportional to 782.45, 1,173.20 and 538.71

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Solution

The fourth proportional to 782.45, 1,173.20 and 538.71 is: 807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.45 : 1,173.20 = 538.71 : x
  2. Step 2: Convert to fraction form
    782.45/1,173.20 = 538.71/x
  3. Step 3: Cross multiply
    782.45x = 1,173.20 × 538.71
  4. Step 4: Simplify right side
    782.45x = 632,008.71
  5. Step 5: Solve for x
    x = 632,008.71/782.45
  6. Step 6: Final answer
    x = 807.73

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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.