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Finding the Fourth Proportional to 516.08, 717.10 and 510

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Solution

The fourth proportional to 516.08, 717.10 and 510 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.08 : 717.10 = 510 : x
  2. Step 2: Convert to fraction form
    516.08/717.10 = 510/x
  3. Step 3: Cross multiply
    516.08x = 717.10 × 510
  4. Step 4: Simplify right side
    516.08x = 365,721
  5. Step 5: Solve for x
    x = 365,721/516.08
  6. Step 6: Final answer
    x = 708.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.