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Finding the Fourth Proportional to 781.80, 1,079.02 and 467.08

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Solution

The fourth proportional to 781.80, 1,079.02 and 467.08 is: 644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.80 : 1,079.02 = 467.08 : x
  2. Step 2: Convert to fraction form
    781.80/1,079.02 = 467.08/x
  3. Step 3: Cross multiply
    781.80x = 1,079.02 × 467.08
  4. Step 4: Simplify right side
    781.80x = 503,988.66
  5. Step 5: Solve for x
    x = 503,988.66/781.80
  6. Step 6: Final answer
    x = 644.65

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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.