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Finding the Fourth Proportional to 767.34, 1,156.55 and 660.42

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Solution

The fourth proportional to 767.34, 1,156.55 and 660.42 is: 995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,156.55 = 660.42 : x
  2. Step 2: Convert to fraction form
    767.34/1,156.55 = 660.42/x
  3. Step 3: Cross multiply
    767.34x = 1,156.55 × 660.42
  4. Step 4: Simplify right side
    767.34x = 763,805.45
  5. Step 5: Solve for x
    x = 763,805.45/767.34
  6. Step 6: Final answer
    x = 995.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.