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Finding the Fourth Proportional to 850.98, 1,174.28 and 477.88

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Solution

The fourth proportional to 850.98, 1,174.28 and 477.88 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.98 : 1,174.28 = 477.88 : x
  2. Step 2: Convert to fraction form
    850.98/1,174.28 = 477.88/x
  3. Step 3: Cross multiply
    850.98x = 1,174.28 × 477.88
  4. Step 4: Simplify right side
    850.98x = 561,164.93
  5. Step 5: Solve for x
    x = 561,164.93/850.98
  6. Step 6: Final answer
    x = 659.43

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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.