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Finding the Fourth Proportional to 511.93, 706.28 and 312.71

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Solution

The fourth proportional to 511.93, 706.28 and 312.71 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.93 : 706.28 = 312.71 : x
  2. Step 2: Convert to fraction form
    511.93/706.28 = 312.71/x
  3. Step 3: Cross multiply
    511.93x = 706.28 × 312.71
  4. Step 4: Simplify right side
    511.93x = 220,858.07
  5. Step 5: Solve for x
    x = 220,858.07/511.93
  6. Step 6: Final answer
    x = 431.42

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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.