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Finding the Fourth Proportional to 649.44, 972.27 and 360

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Solution

The fourth proportional to 649.44, 972.27 and 360 is: 538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 972.27 = 360 : x
  2. Step 2: Convert to fraction form
    649.44/972.27 = 360/x
  3. Step 3: Cross multiply
    649.44x = 972.27 × 360
  4. Step 4: Simplify right side
    649.44x = 350,017.20
  5. Step 5: Solve for x
    x = 350,017.20/649.44
  6. Step 6: Final answer
    x = 538.95

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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.