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Finding the Fourth Proportional to 1,471.46, 2,208.32 and 547.90

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Solution

The fourth proportional to 1,471.46, 2,208.32 and 547.90 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.46 : 2,208.32 = 547.90 : x
  2. Step 2: Convert to fraction form
    1,471.46/2,208.32 = 547.90/x
  3. Step 3: Cross multiply
    1,471.46x = 2,208.32 × 547.90
  4. Step 4: Simplify right side
    1,471.46x = 1,209,938.53
  5. Step 5: Solve for x
    x = 1,209,938.53/1,471.46
  6. Step 6: Final answer
    x = 822.27

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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.