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Finding the Fourth Proportional to 851.12, 1,174.60 and 478.09

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Solution

The fourth proportional to 851.12, 1,174.60 and 478.09 is: 659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.12 : 1,174.60 = 478.09 : x
  2. Step 2: Convert to fraction form
    851.12/1,174.60 = 478.09/x
  3. Step 3: Cross multiply
    851.12x = 1,174.60 × 478.09
  4. Step 4: Simplify right side
    851.12x = 561,558.64
  5. Step 5: Solve for x
    x = 561,558.64/851.12
  6. Step 6: Final answer
    x = 659.79

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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.