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Finding the Fourth Proportional to 680.00, 937.88 and 458.87

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Solution

The fourth proportional to 680.00, 937.88 and 458.87 is: 632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.00 : 937.88 = 458.87 : x
  2. Step 2: Convert to fraction form
    680.00/937.88 = 458.87/x
  3. Step 3: Cross multiply
    680.00x = 937.88 × 458.87
  4. Step 4: Simplify right side
    680.00x = 430,359.73
  5. Step 5: Solve for x
    x = 430,359.73/680.00
  6. Step 6: Final answer
    x = 632.89

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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.