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Finding the Fourth Proportional to 649.24, 972.25 and 484.31

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Solution

The fourth proportional to 649.24, 972.25 and 484.31 is: 725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 972.25 = 484.31 : x
  2. Step 2: Convert to fraction form
    649.24/972.25 = 484.31/x
  3. Step 3: Cross multiply
    649.24x = 972.25 × 484.31
  4. Step 4: Simplify right side
    649.24x = 470,870.40
  5. Step 5: Solve for x
    x = 470,870.40/649.24
  6. Step 6: Final answer
    x = 725.26

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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.