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Finding the Fourth Proportional to 532.95, 795.40 and 519.09

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Solution

The fourth proportional to 532.95, 795.40 and 519.09 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.95 : 795.40 = 519.09 : x
  2. Step 2: Convert to fraction form
    532.95/795.40 = 519.09/x
  3. Step 3: Cross multiply
    532.95x = 795.40 × 519.09
  4. Step 4: Simplify right side
    532.95x = 412,884.19
  5. Step 5: Solve for x
    x = 412,884.19/532.95
  6. Step 6: Final answer
    x = 774.71

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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.