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Finding the Fourth Proportional to 513.29, 708.23 and 316.67

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Solution

The fourth proportional to 513.29, 708.23 and 316.67 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.29 : 708.23 = 316.67 : x
  2. Step 2: Convert to fraction form
    513.29/708.23 = 316.67/x
  3. Step 3: Cross multiply
    513.29x = 708.23 × 316.67
  4. Step 4: Simplify right side
    513.29x = 224,273.61
  5. Step 5: Solve for x
    x = 224,273.61/513.29
  6. Step 6: Final answer
    x = 436.93

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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.