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Finding the Fourth Proportional to 515.52, 774.72 and 514.08

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Solution

The fourth proportional to 515.52, 774.72 and 514.08 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.52 : 774.72 = 514.08 : x
  2. Step 2: Convert to fraction form
    515.52/774.72 = 514.08/x
  3. Step 3: Cross multiply
    515.52x = 774.72 × 514.08
  4. Step 4: Simplify right side
    515.52x = 398,268.06
  5. Step 5: Solve for x
    x = 398,268.06/515.52
  6. Step 6: Final answer
    x = 772.56

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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.