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Finding the Fourth Proportional to 513.86, 709.17 and 440.42

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Solution

The fourth proportional to 513.86, 709.17 and 440.42 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.86 : 709.17 = 440.42 : x
  2. Step 2: Convert to fraction form
    513.86/709.17 = 440.42/x
  3. Step 3: Cross multiply
    513.86x = 709.17 × 440.42
  4. Step 4: Simplify right side
    513.86x = 312,332.65
  5. Step 5: Solve for x
    x = 312,332.65/513.86
  6. Step 6: Final answer
    x = 607.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.