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Finding the Fourth Proportional to 663.88, 991.28 and 566.68

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Solution

The fourth proportional to 663.88, 991.28 and 566.68 is: 846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.88 : 991.28 = 566.68 : x
  2. Step 2: Convert to fraction form
    663.88/991.28 = 566.68/x
  3. Step 3: Cross multiply
    663.88x = 991.28 × 566.68
  4. Step 4: Simplify right side
    663.88x = 561,738.55
  5. Step 5: Solve for x
    x = 561,738.55/663.88
  6. Step 6: Final answer
    x = 846.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.