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Finding the Fourth Proportional to 871.50, 1,202.67 and 503.50

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Solution

The fourth proportional to 871.50, 1,202.67 and 503.50 is: 694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.50 : 1,202.67 = 503.50 : x
  2. Step 2: Convert to fraction form
    871.50/1,202.67 = 503.50/x
  3. Step 3: Cross multiply
    871.50x = 1,202.67 × 503.50
  4. Step 4: Simplify right side
    871.50x = 605,544.35
  5. Step 5: Solve for x
    x = 605,544.35/871.50
  6. Step 6: Final answer
    x = 694.83

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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.