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Finding the Fourth Proportional to 456.88, 686.04 and 262.48

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Solution

The fourth proportional to 456.88, 686.04 and 262.48 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.88 : 686.04 = 262.48 : x
  2. Step 2: Convert to fraction form
    456.88/686.04 = 262.48/x
  3. Step 3: Cross multiply
    456.88x = 686.04 × 262.48
  4. Step 4: Simplify right side
    456.88x = 180,071.78
  5. Step 5: Solve for x
    x = 180,071.78/456.88
  6. Step 6: Final answer
    x = 394.13

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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.