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Finding the Fourth Proportional to 819.42, 1,130.85 and 470.16

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Solution

The fourth proportional to 819.42, 1,130.85 and 470.16 is: 648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.42 : 1,130.85 = 470.16 : x
  2. Step 2: Convert to fraction form
    819.42/1,130.85 = 470.16/x
  3. Step 3: Cross multiply
    819.42x = 1,130.85 × 470.16
  4. Step 4: Simplify right side
    819.42x = 531,680.44
  5. Step 5: Solve for x
    x = 531,680.44/819.42
  6. Step 6: Final answer
    x = 648.85

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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.