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Finding the Fourth Proportional to 936.34, 1,404.03 and 497.84

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Solution

The fourth proportional to 936.34, 1,404.03 and 497.84 is: 746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.34 : 1,404.03 = 497.84 : x
  2. Step 2: Convert to fraction form
    936.34/1,404.03 = 497.84/x
  3. Step 3: Cross multiply
    936.34x = 1,404.03 × 497.84
  4. Step 4: Simplify right side
    936.34x = 698,982.30
  5. Step 5: Solve for x
    x = 698,982.30/936.34
  6. Step 6: Final answer
    x = 746.51

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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.