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Finding the Fourth Proportional to 871.47, 1,202.60 and 498.40

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Solution

The fourth proportional to 871.47, 1,202.60 and 498.40 is: 687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.47 : 1,202.60 = 498.40 : x
  2. Step 2: Convert to fraction form
    871.47/1,202.60 = 498.40/x
  3. Step 3: Cross multiply
    871.47x = 1,202.60 × 498.40
  4. Step 4: Simplify right side
    871.47x = 599,374.08
  5. Step 5: Solve for x
    x = 599,374.08/871.47
  6. Step 6: Final answer
    x = 687.77

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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.