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Finding the Fourth Proportional to 986.48, 1,479.55 and 361.65

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Solution

The fourth proportional to 986.48, 1,479.55 and 361.65 is: 542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.48 : 1,479.55 = 361.65 : x
  2. Step 2: Convert to fraction form
    986.48/1,479.55 = 361.65/x
  3. Step 3: Cross multiply
    986.48x = 1,479.55 × 361.65
  4. Step 4: Simplify right side
    986.48x = 535,079.26
  5. Step 5: Solve for x
    x = 535,079.26/986.48
  6. Step 6: Final answer
    x = 542.41

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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.