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Finding the Fourth Proportional to 699.75, 966.20 and 553.14

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Solution

The fourth proportional to 699.75, 966.20 and 553.14 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.75 : 966.20 = 553.14 : x
  2. Step 2: Convert to fraction form
    699.75/966.20 = 553.14/x
  3. Step 3: Cross multiply
    699.75x = 966.20 × 553.14
  4. Step 4: Simplify right side
    699.75x = 534,441.10
  5. Step 5: Solve for x
    x = 534,441.10/699.75
  6. Step 6: Final answer
    x = 763.76

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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.