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Finding the Fourth Proportional to 566.20, 781.40 and 345.09

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Solution

The fourth proportional to 566.20, 781.40 and 345.09 is: 476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 781.40 = 345.09 : x
  2. Step 2: Convert to fraction form
    566.20/781.40 = 345.09/x
  3. Step 3: Cross multiply
    566.20x = 781.40 × 345.09
  4. Step 4: Simplify right side
    566.20x = 269,655.18
  5. Step 5: Solve for x
    x = 269,655.18/566.20
  6. Step 6: Final answer
    x = 476.26

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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.