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Finding the Fourth Proportional to 2,292.20, 3,438.48 and 648.72

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Solution

The fourth proportional to 2,292.20, 3,438.48 and 648.72 is: 973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.20 : 3,438.48 = 648.72 : x
  2. Step 2: Convert to fraction form
    2,292.20/3,438.48 = 648.72/x
  3. Step 3: Cross multiply
    2,292.20x = 3,438.48 × 648.72
  4. Step 4: Simplify right side
    2,292.20x = 2,230,610.75
  5. Step 5: Solve for x
    x = 2,230,610.75/2,292.20
  6. Step 6: Final answer
    x = 973.13

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1.5x scale

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.