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Finding the Fourth Proportional to 873.28, 1,203.96 and 708.04

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Solution

The fourth proportional to 873.28, 1,203.96 and 708.04 is: 976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.28 : 1,203.96 = 708.04 : x
  2. Step 2: Convert to fraction form
    873.28/1,203.96 = 708.04/x
  3. Step 3: Cross multiply
    873.28x = 1,203.96 × 708.04
  4. Step 4: Simplify right side
    873.28x = 852,451.84
  5. Step 5: Solve for x
    x = 852,451.84/873.28
  6. Step 6: Final answer
    x = 976.15

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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.