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Finding the Fourth Proportional to 851.35, 1,174.65 and 478.34

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Solution

The fourth proportional to 851.35, 1,174.65 and 478.34 is: 659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.35 : 1,174.65 = 478.34 : x
  2. Step 2: Convert to fraction form
    851.35/1,174.65 = 478.34/x
  3. Step 3: Cross multiply
    851.35x = 1,174.65 × 478.34
  4. Step 4: Simplify right side
    851.35x = 561,882.08
  5. Step 5: Solve for x
    x = 561,882.08/851.35
  6. Step 6: Final answer
    x = 659.99

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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.