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Finding the Fourth Proportional to 438.71, 654.80 and 379.88

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Solution

The fourth proportional to 438.71, 654.80 and 379.88 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.71 : 654.80 = 379.88 : x
  2. Step 2: Convert to fraction form
    438.71/654.80 = 379.88/x
  3. Step 3: Cross multiply
    438.71x = 654.80 × 379.88
  4. Step 4: Simplify right side
    438.71x = 248,740.25
  5. Step 5: Solve for x
    x = 248,740.25/438.71
  6. Step 6: Final answer
    x = 566.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.