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Finding the Fourth Proportional to 645.30, 968.40 and 462.85

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Solution

The fourth proportional to 645.30, 968.40 and 462.85 is: 694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.30 : 968.40 = 462.85 : x
  2. Step 2: Convert to fraction form
    645.30/968.40 = 462.85/x
  3. Step 3: Cross multiply
    645.30x = 968.40 × 462.85
  4. Step 4: Simplify right side
    645.30x = 448,221.52
  5. Step 5: Solve for x
    x = 448,221.52/645.30
  6. Step 6: Final answer
    x = 694.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.