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Finding the Fourth Proportional to 2,239.60, 3,358.32 and 778.72

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Solution

The fourth proportional to 2,239.60, 3,358.32 and 778.72 is: 1,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.60 : 3,358.32 = 778.72 : x
  2. Step 2: Convert to fraction form
    2,239.60/3,358.32 = 778.72/x
  3. Step 3: Cross multiply
    2,239.60x = 3,358.32 × 778.72
  4. Step 4: Simplify right side
    2,239.60x = 2,615,190.95
  5. Step 5: Solve for x
    x = 2,615,190.95/2,239.60
  6. Step 6: Final answer
    x = 1,167.70

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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.