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Finding the Fourth Proportional to 937.98, 1,407.06 and 321.75

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Solution

The fourth proportional to 937.98, 1,407.06 and 321.75 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.98 : 1,407.06 = 321.75 : x
  2. Step 2: Convert to fraction form
    937.98/1,407.06 = 321.75/x
  3. Step 3: Cross multiply
    937.98x = 1,407.06 × 321.75
  4. Step 4: Simplify right side
    937.98x = 452,721.56
  5. Step 5: Solve for x
    x = 452,721.56/937.98
  6. Step 6: Final answer
    x = 482.66

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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.