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Finding the Fourth Proportional to 478.56, 717.90 and 189.93

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Solution

The fourth proportional to 478.56, 717.90 and 189.93 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 717.90 = 189.93 : x
  2. Step 2: Convert to fraction form
    478.56/717.90 = 189.93/x
  3. Step 3: Cross multiply
    478.56x = 717.90 × 189.93
  4. Step 4: Simplify right side
    478.56x = 136,350.75
  5. Step 5: Solve for x
    x = 136,350.75/478.56
  6. Step 6: Final answer
    x = 284.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.