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Finding the Fourth Proportional to 864.78, 1,193.42 and 486.73

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Solution

The fourth proportional to 864.78, 1,193.42 and 486.73 is: 671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.78 : 1,193.42 = 486.73 : x
  2. Step 2: Convert to fraction form
    864.78/1,193.42 = 486.73/x
  3. Step 3: Cross multiply
    864.78x = 1,193.42 × 486.73
  4. Step 4: Simplify right side
    864.78x = 580,873.32
  5. Step 5: Solve for x
    x = 580,873.32/864.78
  6. Step 6: Final answer
    x = 671.70

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Double scale
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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.