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Finding the Fourth Proportional to 464.28, 691.95 and 463.56

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Solution

The fourth proportional to 464.28, 691.95 and 463.56 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.28 : 691.95 = 463.56 : x
  2. Step 2: Convert to fraction form
    464.28/691.95 = 463.56/x
  3. Step 3: Cross multiply
    464.28x = 691.95 × 463.56
  4. Step 4: Simplify right side
    464.28x = 320,760.34
  5. Step 5: Solve for x
    x = 320,760.34/464.28
  6. Step 6: Final answer
    x = 690.88

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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.