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Finding the Fourth Proportional to 522.32, 778.88 and 517.64

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Solution

The fourth proportional to 522.32, 778.88 and 517.64 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 778.88 = 517.64 : x
  2. Step 2: Convert to fraction form
    522.32/778.88 = 517.64/x
  3. Step 3: Cross multiply
    522.32x = 778.88 × 517.64
  4. Step 4: Simplify right side
    522.32x = 403,173.93
  5. Step 5: Solve for x
    x = 403,173.93/522.32
  6. Step 6: Final answer
    x = 771.89

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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.