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Finding the Fourth Proportional to 871.86, 1,203.15 and 498.95

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Solution

The fourth proportional to 871.86, 1,203.15 and 498.95 is: 688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.86 : 1,203.15 = 498.95 : x
  2. Step 2: Convert to fraction form
    871.86/1,203.15 = 498.95/x
  3. Step 3: Cross multiply
    871.86x = 1,203.15 × 498.95
  4. Step 4: Simplify right side
    871.86x = 600,311.69
  5. Step 5: Solve for x
    x = 600,311.69/871.86
  6. Step 6: Final answer
    x = 688.54

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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.