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Finding the Fourth Proportional to 458.36, 686.17 and 336.71

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Solution

The fourth proportional to 458.36, 686.17 and 336.71 is: 504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 686.17 = 336.71 : x
  2. Step 2: Convert to fraction form
    458.36/686.17 = 336.71/x
  3. Step 3: Cross multiply
    458.36x = 686.17 × 336.71
  4. Step 4: Simplify right side
    458.36x = 231,038.58
  5. Step 5: Solve for x
    x = 231,038.58/458.36
  6. Step 6: Final answer
    x = 504.06

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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.