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Finding the Fourth Proportional to 464.40, 691.29 and 457.48

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Solution

The fourth proportional to 464.40, 691.29 and 457.48 is: 680.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 691.29 = 457.48 : x
  2. Step 2: Convert to fraction form
    464.40/691.29 = 457.48/x
  3. Step 3: Cross multiply
    464.40x = 691.29 × 457.48
  4. Step 4: Simplify right side
    464.40x = 316,251.34
  5. Step 5: Solve for x
    x = 316,251.34/464.40
  6. Step 6: Final answer
    x = 680.99

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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.