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Finding the Fourth Proportional to 871.05, 1,201.99 and 478.00

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Solution

The fourth proportional to 871.05, 1,201.99 and 478.00 is: 659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.05 : 1,201.99 = 478.00 : x
  2. Step 2: Convert to fraction form
    871.05/1,201.99 = 478.00/x
  3. Step 3: Cross multiply
    871.05x = 1,201.99 × 478.00
  4. Step 4: Simplify right side
    871.05x = 574,542.82
  5. Step 5: Solve for x
    x = 574,542.82/871.05
  6. Step 6: Final answer
    x = 659.60

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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.