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Finding the Fourth Proportional to 457.65, 687.29 and 341.72

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Solution

The fourth proportional to 457.65, 687.29 and 341.72 is: 513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 687.29 = 341.72 : x
  2. Step 2: Convert to fraction form
    457.65/687.29 = 341.72/x
  3. Step 3: Cross multiply
    457.65x = 687.29 × 341.72
  4. Step 4: Simplify right side
    457.65x = 234,858.17
  5. Step 5: Solve for x
    x = 234,858.17/457.65
  6. Step 6: Final answer
    x = 513.18

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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.