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Finding the Fourth Proportional to 515.34, 772.59 and 190.54

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Solution

The fourth proportional to 515.34, 772.59 and 190.54 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.34 : 772.59 = 190.54 : x
  2. Step 2: Convert to fraction form
    515.34/772.59 = 190.54/x
  3. Step 3: Cross multiply
    515.34x = 772.59 × 190.54
  4. Step 4: Simplify right side
    515.34x = 147,209.30
  5. Step 5: Solve for x
    x = 147,209.30/515.34
  6. Step 6: Final answer
    x = 285.65

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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.