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Finding the Fourth Proportional to 850.98, 1,174.33 and 478.02

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Solution

The fourth proportional to 850.98, 1,174.33 and 478.02 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.98 : 1,174.33 = 478.02 : x
  2. Step 2: Convert to fraction form
    850.98/1,174.33 = 478.02/x
  3. Step 3: Cross multiply
    850.98x = 1,174.33 × 478.02
  4. Step 4: Simplify right side
    850.98x = 561,353.23
  5. Step 5: Solve for x
    x = 561,353.23/850.98
  6. Step 6: Final answer
    x = 659.66

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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.