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Finding the Fourth Proportional to 520.60, 713.09 and 519.16

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Solution

The fourth proportional to 520.60, 713.09 and 519.16 is: 711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 713.09 = 519.16 : x
  2. Step 2: Convert to fraction form
    520.60/713.09 = 519.16/x
  3. Step 3: Cross multiply
    520.60x = 713.09 × 519.16
  4. Step 4: Simplify right side
    520.60x = 370,207.80
  5. Step 5: Solve for x
    x = 370,207.80/520.60
  6. Step 6: Final answer
    x = 711.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.