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Finding the Fourth Proportional to 699.22, 966.14 and 574.79

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Solution

The fourth proportional to 699.22, 966.14 and 574.79 is: 794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.22 : 966.14 = 574.79 : x
  2. Step 2: Convert to fraction form
    699.22/966.14 = 574.79/x
  3. Step 3: Cross multiply
    699.22x = 966.14 × 574.79
  4. Step 4: Simplify right side
    699.22x = 555,322.78
  5. Step 5: Solve for x
    x = 555,322.78/699.22
  6. Step 6: Final answer
    x = 794.20

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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.