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Finding the Fourth Proportional to 645.87, 963.29 and 549.01

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Solution

The fourth proportional to 645.87, 963.29 and 549.01 is: 818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.87 : 963.29 = 549.01 : x
  2. Step 2: Convert to fraction form
    645.87/963.29 = 549.01/x
  3. Step 3: Cross multiply
    645.87x = 963.29 × 549.01
  4. Step 4: Simplify right side
    645.87x = 528,855.84
  5. Step 5: Solve for x
    x = 528,855.84/645.87
  6. Step 6: Final answer
    x = 818.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.