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Finding the Fourth Proportional to 1,363.88, 1,882.33 and 832.65

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Solution

The fourth proportional to 1,363.88, 1,882.33 and 832.65 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.88 : 1,882.33 = 832.65 : x
  2. Step 2: Convert to fraction form
    1,363.88/1,882.33 = 832.65/x
  3. Step 3: Cross multiply
    1,363.88x = 1,882.33 × 832.65
  4. Step 4: Simplify right side
    1,363.88x = 1,567,322.07
  5. Step 5: Solve for x
    x = 1,567,322.07/1,363.88
  6. Step 6: Final answer
    x = 1,149.16

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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.