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Finding the Fourth Proportional to 871.47, 1,202.62 and 478.50

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Solution

The fourth proportional to 871.47, 1,202.62 and 478.50 is: 660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.47 : 1,202.62 = 478.50 : x
  2. Step 2: Convert to fraction form
    871.47/1,202.62 = 478.50/x
  3. Step 3: Cross multiply
    871.47x = 1,202.62 × 478.50
  4. Step 4: Simplify right side
    871.47x = 575,453.67
  5. Step 5: Solve for x
    x = 575,453.67/871.47
  6. Step 6: Final answer
    x = 660.33

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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.