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Finding the Fourth Proportional to 851.39, 1,174.80 and 478.36

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Solution

The fourth proportional to 851.39, 1,174.80 and 478.36 is: 660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.39 : 1,174.80 = 478.36 : x
  2. Step 2: Convert to fraction form
    851.39/1,174.80 = 478.36/x
  3. Step 3: Cross multiply
    851.39x = 1,174.80 × 478.36
  4. Step 4: Simplify right side
    851.39x = 561,973.98
  5. Step 5: Solve for x
    x = 561,973.98/851.39
  6. Step 6: Final answer
    x = 660.06

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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.