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Finding the Fourth Proportional to 511.90, 706.78 and 315.66

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Solution

The fourth proportional to 511.90, 706.78 and 315.66 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 706.78 = 315.66 : x
  2. Step 2: Convert to fraction form
    511.90/706.78 = 315.66/x
  3. Step 3: Cross multiply
    511.90x = 706.78 × 315.66
  4. Step 4: Simplify right side
    511.90x = 223,102.17
  5. Step 5: Solve for x
    x = 223,102.17/511.90
  6. Step 6: Final answer
    x = 435.83

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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.