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Finding the Fourth Proportional to 2,291.55, 3,437.34 and 648.12

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Solution

The fourth proportional to 2,291.55, 3,437.34 and 648.12 is: 972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.55 : 3,437.34 = 648.12 : x
  2. Step 2: Convert to fraction form
    2,291.55/3,437.34 = 648.12/x
  3. Step 3: Cross multiply
    2,291.55x = 3,437.34 × 648.12
  4. Step 4: Simplify right side
    2,291.55x = 2,227,808.80
  5. Step 5: Solve for x
    x = 2,227,808.80/2,291.55
  6. Step 6: Final answer
    x = 972.18

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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.