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Finding the Fourth Proportional to 654.02, 979.66 and 379.97

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Solution

The fourth proportional to 654.02, 979.66 and 379.97 is: 569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.02 : 979.66 = 379.97 : x
  2. Step 2: Convert to fraction form
    654.02/979.66 = 379.97/x
  3. Step 3: Cross multiply
    654.02x = 979.66 × 379.97
  4. Step 4: Simplify right side
    654.02x = 372,246.17
  5. Step 5: Solve for x
    x = 372,246.17/654.02
  6. Step 6: Final answer
    x = 569.16

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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.