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Finding the Fourth Proportional to 1,471.49, 2,207.79 and 649.17

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Solution

The fourth proportional to 1,471.49, 2,207.79 and 649.17 is: 974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.49 : 2,207.79 = 649.17 : x
  2. Step 2: Convert to fraction form
    1,471.49/2,207.79 = 649.17/x
  3. Step 3: Cross multiply
    1,471.49x = 2,207.79 × 649.17
  4. Step 4: Simplify right side
    1,471.49x = 1,433,231.03
  5. Step 5: Solve for x
    x = 1,433,231.03/1,471.49
  6. Step 6: Final answer
    x = 974.00

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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.