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Finding the Fourth Proportional to 566.18, 781.11 and 379.47

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Solution

The fourth proportional to 566.18, 781.11 and 379.47 is: 523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.18 : 781.11 = 379.47 : x
  2. Step 2: Convert to fraction form
    566.18/781.11 = 379.47/x
  3. Step 3: Cross multiply
    566.18x = 781.11 × 379.47
  4. Step 4: Simplify right side
    566.18x = 296,410.74
  5. Step 5: Solve for x
    x = 296,410.74/566.18
  6. Step 6: Final answer
    x = 523.53

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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.