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Finding the Fourth Proportional to 936.08, 1,402.26 and 642.86

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Solution

The fourth proportional to 936.08, 1,402.26 and 642.86 is: 963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.08 : 1,402.26 = 642.86 : x
  2. Step 2: Convert to fraction form
    936.08/1,402.26 = 642.86/x
  3. Step 3: Cross multiply
    936.08x = 1,402.26 × 642.86
  4. Step 4: Simplify right side
    936.08x = 901,456.86
  5. Step 5: Solve for x
    x = 901,456.86/936.08
  6. Step 6: Final answer
    x = 963.01

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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.