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Finding the Fourth Proportional to 566.40, 781.78 and 345.50

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Solution

The fourth proportional to 566.40, 781.78 and 345.50 is: 476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 781.78 = 345.50 : x
  2. Step 2: Convert to fraction form
    566.40/781.78 = 345.50/x
  3. Step 3: Cross multiply
    566.40x = 781.78 × 345.50
  4. Step 4: Simplify right side
    566.40x = 270,104.99
  5. Step 5: Solve for x
    x = 270,104.99/566.40
  6. Step 6: Final answer
    x = 476.88

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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.