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Finding the Fourth Proportional to 937.75, 1,404.50 and 801.07

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Solution

The fourth proportional to 937.75, 1,404.50 and 801.07 is: 1,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.75 : 1,404.50 = 801.07 : x
  2. Step 2: Convert to fraction form
    937.75/1,404.50 = 801.07/x
  3. Step 3: Cross multiply
    937.75x = 1,404.50 × 801.07
  4. Step 4: Simplify right side
    937.75x = 1,125,102.82
  5. Step 5: Solve for x
    x = 1,125,102.82/937.75
  6. Step 6: Final answer
    x = 1,199.79

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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.