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Finding the Fourth Proportional to 513.43, 708.46 and 316.89

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Solution

The fourth proportional to 513.43, 708.46 and 316.89 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.43 : 708.46 = 316.89 : x
  2. Step 2: Convert to fraction form
    513.43/708.46 = 316.89/x
  3. Step 3: Cross multiply
    513.43x = 708.46 × 316.89
  4. Step 4: Simplify right side
    513.43x = 224,503.89
  5. Step 5: Solve for x
    x = 224,503.89/513.43
  6. Step 6: Final answer
    x = 437.26

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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.