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Finding the Fourth Proportional to 522.88, 790.25 and 513.92

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Solution

The fourth proportional to 522.88, 790.25 and 513.92 is: 776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 790.25 = 513.92 : x
  2. Step 2: Convert to fraction form
    522.88/790.25 = 513.92/x
  3. Step 3: Cross multiply
    522.88x = 790.25 × 513.92
  4. Step 4: Simplify right side
    522.88x = 406,125.28
  5. Step 5: Solve for x
    x = 406,125.28/522.88
  6. Step 6: Final answer
    x = 776.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.