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Finding the Fourth Proportional to 699.75, 966.33 and 665.46

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Solution

The fourth proportional to 699.75, 966.33 and 665.46 is: 918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.75 : 966.33 = 665.46 : x
  2. Step 2: Convert to fraction form
    699.75/966.33 = 665.46/x
  3. Step 3: Cross multiply
    699.75x = 966.33 × 665.46
  4. Step 4: Simplify right side
    699.75x = 643,053.96
  5. Step 5: Solve for x
    x = 643,053.96/699.75
  6. Step 6: Final answer
    x = 918.98

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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.