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Finding the Fourth Proportional to 678.17, 936.87 and 458.09

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Solution

The fourth proportional to 678.17, 936.87 and 458.09 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.17 : 936.87 = 458.09 : x
  2. Step 2: Convert to fraction form
    678.17/936.87 = 458.09/x
  3. Step 3: Cross multiply
    678.17x = 936.87 × 458.09
  4. Step 4: Simplify right side
    678.17x = 429,167.89
  5. Step 5: Solve for x
    x = 429,167.89/678.17
  6. Step 6: Final answer
    x = 632.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.