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Finding the Fourth Proportional to 782.01, 1,079.17 and 427.94

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Solution

The fourth proportional to 782.01, 1,079.17 and 427.94 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.01 : 1,079.17 = 427.94 : x
  2. Step 2: Convert to fraction form
    782.01/1,079.17 = 427.94/x
  3. Step 3: Cross multiply
    782.01x = 1,079.17 × 427.94
  4. Step 4: Simplify right side
    782.01x = 461,821.64
  5. Step 5: Solve for x
    x = 461,821.64/782.01
  6. Step 6: Final answer
    x = 590.55

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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.