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Finding the Fourth Proportional to 1,165.73, 1,608.85 and 654.79

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Solution

The fourth proportional to 1,165.73, 1,608.85 and 654.79 is: 903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.73 : 1,608.85 = 654.79 : x
  2. Step 2: Convert to fraction form
    1,165.73/1,608.85 = 654.79/x
  3. Step 3: Cross multiply
    1,165.73x = 1,608.85 × 654.79
  4. Step 4: Simplify right side
    1,165.73x = 1,053,456.15
  5. Step 5: Solve for x
    x = 1,053,456.15/1,165.73
  6. Step 6: Final answer
    x = 903.69

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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.