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Finding the Fourth Proportional to 1,432.85, 1,977.56 and 843.66

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Solution

The fourth proportional to 1,432.85, 1,977.56 and 843.66 is: 1,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.85 : 1,977.56 = 843.66 : x
  2. Step 2: Convert to fraction form
    1,432.85/1,977.56 = 843.66/x
  3. Step 3: Cross multiply
    1,432.85x = 1,977.56 × 843.66
  4. Step 4: Simplify right side
    1,432.85x = 1,668,384.05
  5. Step 5: Solve for x
    x = 1,668,384.05/1,432.85
  6. Step 6: Final answer
    x = 1,164.39

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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.