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Finding the Fourth Proportional to 566.52, 781.92 and 345.42

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Solution

The fourth proportional to 566.52, 781.92 and 345.42 is: 476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.52 : 781.92 = 345.42 : x
  2. Step 2: Convert to fraction form
    566.52/781.92 = 345.42/x
  3. Step 3: Cross multiply
    566.52x = 781.92 × 345.42
  4. Step 4: Simplify right side
    566.52x = 270,090.81
  5. Step 5: Solve for x
    x = 270,090.81/566.52
  6. Step 6: Final answer
    x = 476.75

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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.