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Finding the Fourth Proportional to 523.28, 778.93 and 520.52

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Solution

The fourth proportional to 523.28, 778.93 and 520.52 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.28 : 778.93 = 520.52 : x
  2. Step 2: Convert to fraction form
    523.28/778.93 = 520.52/x
  3. Step 3: Cross multiply
    523.28x = 778.93 × 520.52
  4. Step 4: Simplify right side
    523.28x = 405,448.64
  5. Step 5: Solve for x
    x = 405,448.64/523.28
  6. Step 6: Final answer
    x = 774.82

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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.