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Finding the Fourth Proportional to 566.29, 781.94 and 461.39

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Solution

The fourth proportional to 566.29, 781.94 and 461.39 is: 637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.29 : 781.94 = 461.39 : x
  2. Step 2: Convert to fraction form
    566.29/781.94 = 461.39/x
  3. Step 3: Cross multiply
    566.29x = 781.94 × 461.39
  4. Step 4: Simplify right side
    566.29x = 360,776.99
  5. Step 5: Solve for x
    x = 360,776.99/566.29
  6. Step 6: Final answer
    x = 637.09

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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.