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Finding the Fourth Proportional to 986, 1,478 and 438.04

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Solution

The fourth proportional to 986, 1,478 and 438.04 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    986 : 1,478 = 438.04 : x
  2. Step 2: Convert to fraction form
    986/1,478 = 438.04/x
  3. Step 3: Cross multiply
    986x = 1,478 × 438.04
  4. Step 4: Simplify right side
    986x = 647,423.12
  5. Step 5: Solve for x
    x = 647,423.12/986
  6. Step 6: Final answer
    x = 656.62

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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.