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Finding the Fourth Proportional to 645.99, 963.35 and 602.25

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Solution

The fourth proportional to 645.99, 963.35 and 602.25 is: 898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.99 : 963.35 = 602.25 : x
  2. Step 2: Convert to fraction form
    645.99/963.35 = 602.25/x
  3. Step 3: Cross multiply
    645.99x = 963.35 × 602.25
  4. Step 4: Simplify right side
    645.99x = 580,174.53
  5. Step 5: Solve for x
    x = 580,174.53/645.99
  6. Step 6: Final answer
    x = 898.12

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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.