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Finding the Fourth Proportional to 843.80, 1,164.30 and 470.78

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Solution

The fourth proportional to 843.80, 1,164.30 and 470.78 is: 649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.80 : 1,164.30 = 470.78 : x
  2. Step 2: Convert to fraction form
    843.80/1,164.30 = 470.78/x
  3. Step 3: Cross multiply
    843.80x = 1,164.30 × 470.78
  4. Step 4: Simplify right side
    843.80x = 548,123.33
  5. Step 5: Solve for x
    x = 548,123.33/843.80
  6. Step 6: Final answer
    x = 649.59

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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.