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Finding the Fourth Proportional to 875.89, 1,209.22 and 581.56

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Solution

The fourth proportional to 875.89, 1,209.22 and 581.56 is: 802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.89 : 1,209.22 = 581.56 : x
  2. Step 2: Convert to fraction form
    875.89/1,209.22 = 581.56/x
  3. Step 3: Cross multiply
    875.89x = 1,209.22 × 581.56
  4. Step 4: Simplify right side
    875.89x = 703,229.51
  5. Step 5: Solve for x
    x = 703,229.51/875.89
  6. Step 6: Final answer
    x = 802.88

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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.