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Finding the Fourth Proportional to 878.91, 1,213.04 and 595.20

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Solution

The fourth proportional to 878.91, 1,213.04 and 595.20 is: 821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.91 : 1,213.04 = 595.20 : x
  2. Step 2: Convert to fraction form
    878.91/1,213.04 = 595.20/x
  3. Step 3: Cross multiply
    878.91x = 1,213.04 × 595.20
  4. Step 4: Simplify right side
    878.91x = 722,002.90
  5. Step 5: Solve for x
    x = 722,002.90/878.91
  6. Step 6: Final answer
    x = 821.48

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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.