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Finding the Fourth Proportional to 986.52, 1,480.31 and 370.65

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Solution

The fourth proportional to 986.52, 1,480.31 and 370.65 is: 556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.52 : 1,480.31 = 370.65 : x
  2. Step 2: Convert to fraction form
    986.52/1,480.31 = 370.65/x
  3. Step 3: Cross multiply
    986.52x = 1,480.31 × 370.65
  4. Step 4: Simplify right side
    986.52x = 548,676.90
  5. Step 5: Solve for x
    x = 548,676.90/986.52
  6. Step 6: Final answer
    x = 556.17

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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.