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Finding the Fourth Proportional to 519.82, 722.17 and 515.06

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Solution

The fourth proportional to 519.82, 722.17 and 515.06 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 722.17 = 515.06 : x
  2. Step 2: Convert to fraction form
    519.82/722.17 = 515.06/x
  3. Step 3: Cross multiply
    519.82x = 722.17 × 515.06
  4. Step 4: Simplify right side
    519.82x = 371,957.72
  5. Step 5: Solve for x
    x = 371,957.72/519.82
  6. Step 6: Final answer
    x = 715.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.