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Finding the Fourth Proportional to 699.67, 963.79 and 654.31

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Solution

The fourth proportional to 699.67, 963.79 and 654.31 is: 901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.67 : 963.79 = 654.31 : x
  2. Step 2: Convert to fraction form
    699.67/963.79 = 654.31/x
  3. Step 3: Cross multiply
    699.67x = 963.79 × 654.31
  4. Step 4: Simplify right side
    699.67x = 630,617.43
  5. Step 5: Solve for x
    x = 630,617.43/699.67
  6. Step 6: Final answer
    x = 901.31

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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.