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Finding the Fourth Proportional to 566.19, 781.43 and 400.41

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Solution

The fourth proportional to 566.19, 781.43 and 400.41 is: 552.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 781.43 = 400.41 : x
  2. Step 2: Convert to fraction form
    566.19/781.43 = 400.41/x
  3. Step 3: Cross multiply
    566.19x = 781.43 × 400.41
  4. Step 4: Simplify right side
    566.19x = 312,890.38
  5. Step 5: Solve for x
    x = 312,890.38/566.19
  6. Step 6: Final answer
    x = 552.62

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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.