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Finding the Fourth Proportional to 871.95, 1,204.48 and 708.19

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Solution

The fourth proportional to 871.95, 1,204.48 and 708.19 is: 978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.95 : 1,204.48 = 708.19 : x
  2. Step 2: Convert to fraction form
    871.95/1,204.48 = 708.19/x
  3. Step 3: Cross multiply
    871.95x = 1,204.48 × 708.19
  4. Step 4: Simplify right side
    871.95x = 852,998.92
  5. Step 5: Solve for x
    x = 852,998.92/871.95
  6. Step 6: Final answer
    x = 978.27

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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.