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Finding the Fourth Proportional to 515.84, 774.08 and 511.52

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Solution

The fourth proportional to 515.84, 774.08 and 511.52 is: 767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 774.08 = 511.52 : x
  2. Step 2: Convert to fraction form
    515.84/774.08 = 511.52/x
  3. Step 3: Cross multiply
    515.84x = 774.08 × 511.52
  4. Step 4: Simplify right side
    515.84x = 395,957.40
  5. Step 5: Solve for x
    x = 395,957.40/515.84
  6. Step 6: Final answer
    x = 767.60

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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.