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Finding the Fourth Proportional to 2,291.86, 3,437.48 and 648.54

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Solution

The fourth proportional to 2,291.86, 3,437.48 and 648.54 is: 972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.86 : 3,437.48 = 648.54 : x
  2. Step 2: Convert to fraction form
    2,291.86/3,437.48 = 648.54/x
  3. Step 3: Cross multiply
    2,291.86x = 3,437.48 × 648.54
  4. Step 4: Simplify right side
    2,291.86x = 2,229,344.90
  5. Step 5: Solve for x
    x = 2,229,344.90/2,291.86
  6. Step 6: Final answer
    x = 972.72

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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.