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Finding the Fourth Proportional to 566.54, 781.99 and 359.66

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Solution

The fourth proportional to 566.54, 781.99 and 359.66 is: 496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.54 : 781.99 = 359.66 : x
  2. Step 2: Convert to fraction form
    566.54/781.99 = 359.66/x
  3. Step 3: Cross multiply
    566.54x = 781.99 × 359.66
  4. Step 4: Simplify right side
    566.54x = 281,250.52
  5. Step 5: Solve for x
    x = 281,250.52/566.54
  6. Step 6: Final answer
    x = 496.44

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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.