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Finding the Fourth Proportional to 699.56, 966.68 and 665.84

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Solution

The fourth proportional to 699.56, 966.68 and 665.84 is: 920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.56 : 966.68 = 665.84 : x
  2. Step 2: Convert to fraction form
    699.56/966.68 = 665.84/x
  3. Step 3: Cross multiply
    699.56x = 966.68 × 665.84
  4. Step 4: Simplify right side
    699.56x = 643,654.21
  5. Step 5: Solve for x
    x = 643,654.21/699.56
  6. Step 6: Final answer
    x = 920.08

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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.