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Finding the Fourth Proportional to 894.70, 1,342.78 and 765.52

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Solution

The fourth proportional to 894.70, 1,342.78 and 765.52 is: 1,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.70 : 1,342.78 = 765.52 : x
  2. Step 2: Convert to fraction form
    894.70/1,342.78 = 765.52/x
  3. Step 3: Cross multiply
    894.70x = 1,342.78 × 765.52
  4. Step 4: Simplify right side
    894.70x = 1,027,919.67
  5. Step 5: Solve for x
    x = 1,027,919.67/894.70
  6. Step 6: Final answer
    x = 1,148.90

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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.