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Finding the Fourth Proportional to 1,471.37, 2,207.35 and 497.54

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Solution

The fourth proportional to 1,471.37, 2,207.35 and 497.54 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.37 : 2,207.35 = 497.54 : x
  2. Step 2: Convert to fraction form
    1,471.37/2,207.35 = 497.54/x
  3. Step 3: Cross multiply
    1,471.37x = 2,207.35 × 497.54
  4. Step 4: Simplify right side
    1,471.37x = 1,098,251.06
  5. Step 5: Solve for x
    x = 1,098,251.06/1,471.37
  6. Step 6: Final answer
    x = 746.42

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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.