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Finding the Fourth Proportional to 513.85, 708.78 and 314.57

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Solution

The fourth proportional to 513.85, 708.78 and 314.57 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.85 : 708.78 = 314.57 : x
  2. Step 2: Convert to fraction form
    513.85/708.78 = 314.57/x
  3. Step 3: Cross multiply
    513.85x = 708.78 × 314.57
  4. Step 4: Simplify right side
    513.85x = 222,962.22
  5. Step 5: Solve for x
    x = 222,962.22/513.85
  6. Step 6: Final answer
    x = 433.91

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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.