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Finding the Fourth Proportional to 871.33, 1,202.52 and 498.34

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Solution

The fourth proportional to 871.33, 1,202.52 and 498.34 is: 687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.33 : 1,202.52 = 498.34 : x
  2. Step 2: Convert to fraction form
    871.33/1,202.52 = 498.34/x
  3. Step 3: Cross multiply
    871.33x = 1,202.52 × 498.34
  4. Step 4: Simplify right side
    871.33x = 599,263.82
  5. Step 5: Solve for x
    x = 599,263.82/871.33
  6. Step 6: Final answer
    x = 687.76

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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.