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Finding the Fourth Proportional to 663.68, 991.12 and 566.40

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Solution

The fourth proportional to 663.68, 991.12 and 566.40 is: 845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.68 : 991.12 = 566.40 : x
  2. Step 2: Convert to fraction form
    663.68/991.12 = 566.40/x
  3. Step 3: Cross multiply
    663.68x = 991.12 × 566.40
  4. Step 4: Simplify right side
    663.68x = 561,370.37
  5. Step 5: Solve for x
    x = 561,370.37/663.68
  6. Step 6: Final answer
    x = 845.84

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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.