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Finding the Fourth Proportional to 566.80, 781.94 and 356.87

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Solution

The fourth proportional to 566.80, 781.94 and 356.87 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.80 : 781.94 = 356.87 : x
  2. Step 2: Convert to fraction form
    566.80/781.94 = 356.87/x
  3. Step 3: Cross multiply
    566.80x = 781.94 × 356.87
  4. Step 4: Simplify right side
    566.80x = 279,050.93
  5. Step 5: Solve for x
    x = 279,050.93/566.80
  6. Step 6: Final answer
    x = 492.33

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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.