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Finding the Fourth Proportional to 1,086, 1,631.42 and 653.46

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Solution

The fourth proportional to 1,086, 1,631.42 and 653.46 is: 981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086 : 1,631.42 = 653.46 : x
  2. Step 2: Convert to fraction form
    1,086/1,631.42 = 653.46/x
  3. Step 3: Cross multiply
    1,086x = 1,631.42 × 653.46
  4. Step 4: Simplify right side
    1,086x = 1,066,067.71
  5. Step 5: Solve for x
    x = 1,066,067.71/1,086
  6. Step 6: Final answer
    x = 981.65

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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.