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Finding the Fourth Proportional to 649.56, 973.71 and 360.39

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Solution

The fourth proportional to 649.56, 973.71 and 360.39 is: 540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 973.71 = 360.39 : x
  2. Step 2: Convert to fraction form
    649.56/973.71 = 360.39/x
  3. Step 3: Cross multiply
    649.56x = 973.71 × 360.39
  4. Step 4: Simplify right side
    649.56x = 350,915.35
  5. Step 5: Solve for x
    x = 350,915.35/649.56
  6. Step 6: Final answer
    x = 540.24

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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.