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Finding the Fourth Proportional to 511.61, 705.91 and 301.73

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Solution

The fourth proportional to 511.61, 705.91 and 301.73 is: 416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.61 : 705.91 = 301.73 : x
  2. Step 2: Convert to fraction form
    511.61/705.91 = 301.73/x
  3. Step 3: Cross multiply
    511.61x = 705.91 × 301.73
  4. Step 4: Simplify right side
    511.61x = 212,994.22
  5. Step 5: Solve for x
    x = 212,994.22/511.61
  6. Step 6: Final answer
    x = 416.32

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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.