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Finding the Fourth Proportional to 905.57, 1,248.59 and 765.44

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Solution

The fourth proportional to 905.57, 1,248.59 and 765.44 is: 1,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.57 : 1,248.59 = 765.44 : x
  2. Step 2: Convert to fraction form
    905.57/1,248.59 = 765.44/x
  3. Step 3: Cross multiply
    905.57x = 1,248.59 × 765.44
  4. Step 4: Simplify right side
    905.57x = 955,720.73
  5. Step 5: Solve for x
    x = 955,720.73/905.57
  6. Step 6: Final answer
    x = 1,055.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.