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Finding the Fourth Proportional to 566.30, 781.28 and 345.17

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Solution

The fourth proportional to 566.30, 781.28 and 345.17 is: 476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.30 : 781.28 = 345.17 : x
  2. Step 2: Convert to fraction form
    566.30/781.28 = 345.17/x
  3. Step 3: Cross multiply
    566.30x = 781.28 × 345.17
  4. Step 4: Simplify right side
    566.30x = 269,668.79
  5. Step 5: Solve for x
    x = 269,668.79/566.30
  6. Step 6: Final answer
    x = 476.20

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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.