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Finding the Fourth Proportional to 936.46, 1,404.34 and 320.00

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Solution

The fourth proportional to 936.46, 1,404.34 and 320.00 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.46 : 1,404.34 = 320.00 : x
  2. Step 2: Convert to fraction form
    936.46/1,404.34 = 320.00/x
  3. Step 3: Cross multiply
    936.46x = 1,404.34 × 320.00
  4. Step 4: Simplify right side
    936.46x = 449,381.78
  5. Step 5: Solve for x
    x = 449,381.78/936.46
  6. Step 6: Final answer
    x = 479.88

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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.