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Finding the Fourth Proportional to 458.91, 688.08 and 380.97

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Solution

The fourth proportional to 458.91, 688.08 and 380.97 is: 571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 688.08 = 380.97 : x
  2. Step 2: Convert to fraction form
    458.91/688.08 = 380.97/x
  3. Step 3: Cross multiply
    458.91x = 688.08 × 380.97
  4. Step 4: Simplify right side
    458.91x = 262,137.84
  5. Step 5: Solve for x
    x = 262,137.84/458.91
  6. Step 6: Final answer
    x = 571.22

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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.