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Finding the Fourth Proportional to 464.20, 698.28 and 457.72

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Solution

The fourth proportional to 464.20, 698.28 and 457.72 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 698.28 = 457.72 : x
  2. Step 2: Convert to fraction form
    464.20/698.28 = 457.72/x
  3. Step 3: Cross multiply
    464.20x = 698.28 × 457.72
  4. Step 4: Simplify right side
    464.20x = 319,616.72
  5. Step 5: Solve for x
    x = 319,616.72/464.20
  6. Step 6: Final answer
    x = 688.53

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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.