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Finding the Fourth Proportional to 936.23, 1,404.35 and 286.97

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Solution

The fourth proportional to 936.23, 1,404.35 and 286.97 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.23 : 1,404.35 = 286.97 : x
  2. Step 2: Convert to fraction form
    936.23/1,404.35 = 286.97/x
  3. Step 3: Cross multiply
    936.23x = 1,404.35 × 286.97
  4. Step 4: Simplify right side
    936.23x = 403,006.32
  5. Step 5: Solve for x
    x = 403,006.32/936.23
  6. Step 6: Final answer
    x = 430.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.