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Finding the Fourth Proportional to 464.53, 691.48 and 457.61

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Solution

The fourth proportional to 464.53, 691.48 and 457.61 is: 681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.53 : 691.48 = 457.61 : x
  2. Step 2: Convert to fraction form
    464.53/691.48 = 457.61/x
  3. Step 3: Cross multiply
    464.53x = 691.48 × 457.61
  4. Step 4: Simplify right side
    464.53x = 316,424.71
  5. Step 5: Solve for x
    x = 316,424.71/464.53
  6. Step 6: Final answer
    x = 681.18

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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.