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Finding the Fourth Proportional to 463.53, 691.78 and 444.69

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Solution

The fourth proportional to 463.53, 691.78 and 444.69 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.53 : 691.78 = 444.69 : x
  2. Step 2: Convert to fraction form
    463.53/691.78 = 444.69/x
  3. Step 3: Cross multiply
    463.53x = 691.78 × 444.69
  4. Step 4: Simplify right side
    463.53x = 307,630.60
  5. Step 5: Solve for x
    x = 307,630.60/463.53
  6. Step 6: Final answer
    x = 663.66

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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.