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Finding the Fourth Proportional to 649.43, 972.90 and 544.07

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Solution

The fourth proportional to 649.43, 972.90 and 544.07 is: 815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 972.90 = 544.07 : x
  2. Step 2: Convert to fraction form
    649.43/972.90 = 544.07/x
  3. Step 3: Cross multiply
    649.43x = 972.90 × 544.07
  4. Step 4: Simplify right side
    649.43x = 529,320.84
  5. Step 5: Solve for x
    x = 529,320.84/649.43
  6. Step 6: Final answer
    x = 815.05

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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.