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Finding the Fourth Proportional to 2,234.54, 3,349.65 and 772.58

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Solution

The fourth proportional to 2,234.54, 3,349.65 and 772.58 is: 1,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.54 : 3,349.65 = 772.58 : x
  2. Step 2: Convert to fraction form
    2,234.54/3,349.65 = 772.58/x
  3. Step 3: Cross multiply
    2,234.54x = 3,349.65 × 772.58
  4. Step 4: Simplify right side
    2,234.54x = 2,587,872.60
  5. Step 5: Solve for x
    x = 2,587,872.60/2,234.54
  6. Step 6: Final answer
    x = 1,158.12

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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.