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Finding the Fourth Proportional to 514.54, 772.13 and 189.91

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Solution

The fourth proportional to 514.54, 772.13 and 189.91 is: 284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 772.13 = 189.91 : x
  2. Step 2: Convert to fraction form
    514.54/772.13 = 189.91/x
  3. Step 3: Cross multiply
    514.54x = 772.13 × 189.91
  4. Step 4: Simplify right side
    514.54x = 146,635.21
  5. Step 5: Solve for x
    x = 146,635.21/514.54
  6. Step 6: Final answer
    x = 284.98

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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.