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Finding the Fourth Proportional to 649.10, 972.23 and 319.55

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Solution

The fourth proportional to 649.10, 972.23 and 319.55 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 972.23 = 319.55 : x
  2. Step 2: Convert to fraction form
    649.10/972.23 = 319.55/x
  3. Step 3: Cross multiply
    649.10x = 972.23 × 319.55
  4. Step 4: Simplify right side
    649.10x = 310,669.64
  5. Step 5: Solve for x
    x = 310,669.64/649.10
  6. Step 6: Final answer
    x = 478.61

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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.