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Finding the Fourth Proportional to 515.74, 773.74 and 380.40

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Solution

The fourth proportional to 515.74, 773.74 and 380.40 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.74 : 773.74 = 380.40 : x
  2. Step 2: Convert to fraction form
    515.74/773.74 = 380.40/x
  3. Step 3: Cross multiply
    515.74x = 773.74 × 380.40
  4. Step 4: Simplify right side
    515.74x = 294,330.70
  5. Step 5: Solve for x
    x = 294,330.70/515.74
  6. Step 6: Final answer
    x = 570.70

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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.