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Finding the Fourth Proportional to 936.77, 1,404.27 and 320.04

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Solution

The fourth proportional to 936.77, 1,404.27 and 320.04 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.77 : 1,404.27 = 320.04 : x
  2. Step 2: Convert to fraction form
    936.77/1,404.27 = 320.04/x
  3. Step 3: Cross multiply
    936.77x = 1,404.27 × 320.04
  4. Step 4: Simplify right side
    936.77x = 449,422.57
  5. Step 5: Solve for x
    x = 449,422.57/936.77
  6. Step 6: Final answer
    x = 479.76

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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.