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Finding the Fourth Proportional to 515.20, 769.88 and 371.20

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Solution

The fourth proportional to 515.20, 769.88 and 371.20 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.20 : 769.88 = 371.20 : x
  2. Step 2: Convert to fraction form
    515.20/769.88 = 371.20/x
  3. Step 3: Cross multiply
    515.20x = 769.88 × 371.20
  4. Step 4: Simplify right side
    515.20x = 285,779.46
  5. Step 5: Solve for x
    x = 285,779.46/515.20
  6. Step 6: Final answer
    x = 554.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.