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Finding the Fourth Proportional to 513.91, 709.30 and 314.81

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Solution

The fourth proportional to 513.91, 709.30 and 314.81 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.91 : 709.30 = 314.81 : x
  2. Step 2: Convert to fraction form
    513.91/709.30 = 314.81/x
  3. Step 3: Cross multiply
    513.91x = 709.30 × 314.81
  4. Step 4: Simplify right side
    513.91x = 223,294.24
  5. Step 5: Solve for x
    x = 223,294.24/513.91
  6. Step 6: Final answer
    x = 434.50

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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.