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Finding the Fourth Proportional to 511.79, 705.98 and 301.91

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Solution

The fourth proportional to 511.79, 705.98 and 301.91 is: 416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.79 : 705.98 = 301.91 : x
  2. Step 2: Convert to fraction form
    511.79/705.98 = 301.91/x
  3. Step 3: Cross multiply
    511.79x = 705.98 × 301.91
  4. Step 4: Simplify right side
    511.79x = 213,139.65
  5. Step 5: Solve for x
    x = 213,139.65/511.79
  6. Step 6: Final answer
    x = 416.46

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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.