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Finding the Fourth Proportional to 566.69, 781.79 and 345.56

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Solution

The fourth proportional to 566.69, 781.79 and 345.56 is: 476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 781.79 = 345.56 : x
  2. Step 2: Convert to fraction form
    566.69/781.79 = 345.56/x
  3. Step 3: Cross multiply
    566.69x = 781.79 × 345.56
  4. Step 4: Simplify right side
    566.69x = 270,149.72
  5. Step 5: Solve for x
    x = 270,149.72/566.69
  6. Step 6: Final answer
    x = 476.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.