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Finding the Fourth Proportional to 1,386, 2,081.07 and 565.88

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Solution

The fourth proportional to 1,386, 2,081.07 and 565.88 is: 849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386 : 2,081.07 = 565.88 : x
  2. Step 2: Convert to fraction form
    1,386/2,081.07 = 565.88/x
  3. Step 3: Cross multiply
    1,386x = 2,081.07 × 565.88
  4. Step 4: Simplify right side
    1,386x = 1,177,625.49
  5. Step 5: Solve for x
    x = 1,177,625.49/1,386
  6. Step 6: Final answer
    x = 849.66

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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.