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Finding the Fourth Proportional to 1,366.35, 1,886.67 and 869.55

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Solution

The fourth proportional to 1,366.35, 1,886.67 and 869.55 is: 1,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.35 : 1,886.67 = 869.55 : x
  2. Step 2: Convert to fraction form
    1,366.35/1,886.67 = 869.55/x
  3. Step 3: Cross multiply
    1,366.35x = 1,886.67 × 869.55
  4. Step 4: Simplify right side
    1,366.35x = 1,640,553.90
  5. Step 5: Solve for x
    x = 1,640,553.90/1,366.35
  6. Step 6: Final answer
    x = 1,200.68

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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.