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Finding the Fourth Proportional to 936.62, 1,293.30 and 587.42

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Solution

The fourth proportional to 936.62, 1,293.30 and 587.42 is: 811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.62 : 1,293.30 = 587.42 : x
  2. Step 2: Convert to fraction form
    936.62/1,293.30 = 587.42/x
  3. Step 3: Cross multiply
    936.62x = 1,293.30 × 587.42
  4. Step 4: Simplify right side
    936.62x = 759,710.29
  5. Step 5: Solve for x
    x = 759,710.29/936.62
  6. Step 6: Final answer
    x = 811.12

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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.