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Finding the Fourth Proportional to 782.01, 1,079.18 and 450.52

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Solution

The fourth proportional to 782.01, 1,079.18 and 450.52 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.01 : 1,079.18 = 450.52 : x
  2. Step 2: Convert to fraction form
    782.01/1,079.18 = 450.52/x
  3. Step 3: Cross multiply
    782.01x = 1,079.18 × 450.52
  4. Step 4: Simplify right side
    782.01x = 486,192.17
  5. Step 5: Solve for x
    x = 486,192.17/782.01
  6. Step 6: Final answer
    x = 621.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.