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Finding the Fourth Proportional to 699.72, 966.83 and 575.29

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Solution

The fourth proportional to 699.72, 966.83 and 575.29 is: 794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 966.83 = 575.29 : x
  2. Step 2: Convert to fraction form
    699.72/966.83 = 575.29/x
  3. Step 3: Cross multiply
    699.72x = 966.83 × 575.29
  4. Step 4: Simplify right side
    699.72x = 556,202.80
  5. Step 5: Solve for x
    x = 556,202.80/699.72
  6. Step 6: Final answer
    x = 794.89

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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.