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Finding the Fourth Proportional to 1,471.24, 2,206.06 and 649.12

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Solution

The fourth proportional to 1,471.24, 2,206.06 and 649.12 is: 973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.24 : 2,206.06 = 649.12 : x
  2. Step 2: Convert to fraction form
    1,471.24/2,206.06 = 649.12/x
  3. Step 3: Cross multiply
    1,471.24x = 2,206.06 × 649.12
  4. Step 4: Simplify right side
    1,471.24x = 1,431,997.67
  5. Step 5: Solve for x
    x = 1,431,997.67/1,471.24
  6. Step 6: Final answer
    x = 973.33

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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.