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Finding the Fourth Proportional to 520.52, 784.62 and 513.23

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Solution

The fourth proportional to 520.52, 784.62 and 513.23 is: 773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 784.62 = 513.23 : x
  2. Step 2: Convert to fraction form
    520.52/784.62 = 513.23/x
  3. Step 3: Cross multiply
    520.52x = 784.62 × 513.23
  4. Step 4: Simplify right side
    520.52x = 402,686.60
  5. Step 5: Solve for x
    x = 402,686.60/520.52
  6. Step 6: Final answer
    x = 773.63

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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.