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Finding the Fourth Proportional to 871.47, 1,202.61 and 478.47

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Solution

The fourth proportional to 871.47, 1,202.61 and 478.47 is: 660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.47 : 1,202.61 = 478.47 : x
  2. Step 2: Convert to fraction form
    871.47/1,202.61 = 478.47/x
  3. Step 3: Cross multiply
    871.47x = 1,202.61 × 478.47
  4. Step 4: Simplify right side
    871.47x = 575,412.81
  5. Step 5: Solve for x
    x = 575,412.81/871.47
  6. Step 6: Final answer
    x = 660.28

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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.