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Finding the Fourth Proportional to 520.20, 714.11 and 515.34

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Solution

The fourth proportional to 520.20, 714.11 and 515.34 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 714.11 = 515.34 : x
  2. Step 2: Convert to fraction form
    520.20/714.11 = 515.34/x
  3. Step 3: Cross multiply
    520.20x = 714.11 × 515.34
  4. Step 4: Simplify right side
    520.20x = 368,006.87
  5. Step 5: Solve for x
    x = 368,006.87/520.20
  6. Step 6: Final answer
    x = 707.43

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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.