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Finding the Fourth Proportional to 879.84, 1,215.60 and 871.20

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Solution

The fourth proportional to 879.84, 1,215.60 and 871.20 is: 1,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,215.60 = 871.20 : x
  2. Step 2: Convert to fraction form
    879.84/1,215.60 = 871.20/x
  3. Step 3: Cross multiply
    879.84x = 1,215.60 × 871.20
  4. Step 4: Simplify right side
    879.84x = 1,059,030.72
  5. Step 5: Solve for x
    x = 1,059,030.72/879.84
  6. Step 6: Final answer
    x = 1,203.66

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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.