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Finding the Fourth Proportional to 464.67, 693.90 and 449.82

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Solution

The fourth proportional to 464.67, 693.90 and 449.82 is: 671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 693.90 = 449.82 : x
  2. Step 2: Convert to fraction form
    464.67/693.90 = 449.82/x
  3. Step 3: Cross multiply
    464.67x = 693.90 × 449.82
  4. Step 4: Simplify right side
    464.67x = 312,130.10
  5. Step 5: Solve for x
    x = 312,130.10/464.67
  6. Step 6: Final answer
    x = 671.72

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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.