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Finding the Fourth Proportional to 566.33, 781.26 and 400.63

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Solution

The fourth proportional to 566.33, 781.26 and 400.63 is: 552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.33 : 781.26 = 400.63 : x
  2. Step 2: Convert to fraction form
    566.33/781.26 = 400.63/x
  3. Step 3: Cross multiply
    566.33x = 781.26 × 400.63
  4. Step 4: Simplify right side
    566.33x = 312,998.67
  5. Step 5: Solve for x
    x = 312,998.67/566.33
  6. Step 6: Final answer
    x = 552.68

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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.