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Finding the Fourth Proportional to 513.47, 706.81 and 447.86

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Solution

The fourth proportional to 513.47, 706.81 and 447.86 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.47 : 706.81 = 447.86 : x
  2. Step 2: Convert to fraction form
    513.47/706.81 = 447.86/x
  3. Step 3: Cross multiply
    513.47x = 706.81 × 447.86
  4. Step 4: Simplify right side
    513.47x = 316,555.14
  5. Step 5: Solve for x
    x = 316,555.14/513.47
  6. Step 6: Final answer
    x = 616.50

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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.