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Finding the Fourth Proportional to 566.50, 781.40 and 408.87

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Solution

The fourth proportional to 566.50, 781.40 and 408.87 is: 563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 781.40 = 408.87 : x
  2. Step 2: Convert to fraction form
    566.50/781.40 = 408.87/x
  3. Step 3: Cross multiply
    566.50x = 781.40 × 408.87
  4. Step 4: Simplify right side
    566.50x = 319,486.09
  5. Step 5: Solve for x
    x = 319,486.09/566.50
  6. Step 6: Final answer
    x = 563.96

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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.