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Finding the Fourth Proportional to 698.87, 963.68 and 549.51

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Solution

The fourth proportional to 698.87, 963.68 and 549.51 is: 757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.87 : 963.68 = 549.51 : x
  2. Step 2: Convert to fraction form
    698.87/963.68 = 549.51/x
  3. Step 3: Cross multiply
    698.87x = 963.68 × 549.51
  4. Step 4: Simplify right side
    698.87x = 529,551.39
  5. Step 5: Solve for x
    x = 529,551.39/698.87
  6. Step 6: Final answer
    x = 757.72

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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.