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Finding the Fourth Proportional to 533.19, 794.65 and 522.39

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Solution

The fourth proportional to 533.19, 794.65 and 522.39 is: 778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.19 : 794.65 = 522.39 : x
  2. Step 2: Convert to fraction form
    533.19/794.65 = 522.39/x
  3. Step 3: Cross multiply
    533.19x = 794.65 × 522.39
  4. Step 4: Simplify right side
    533.19x = 415,115.91
  5. Step 5: Solve for x
    x = 415,115.91/533.19
  6. Step 6: Final answer
    x = 778.55

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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.