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Finding the Fourth Proportional to 937.78, 1,294.05 and 704.50

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Solution

The fourth proportional to 937.78, 1,294.05 and 704.50 is: 972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.78 : 1,294.05 = 704.50 : x
  2. Step 2: Convert to fraction form
    937.78/1,294.05 = 704.50/x
  3. Step 3: Cross multiply
    937.78x = 1,294.05 × 704.50
  4. Step 4: Simplify right side
    937.78x = 911,658.23
  5. Step 5: Solve for x
    x = 911,658.23/937.78
  6. Step 6: Final answer
    x = 972.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.