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Finding the Fourth Proportional to 937.12, 1,291.80 and 641.47

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Solution

The fourth proportional to 937.12, 1,291.80 and 641.47 is: 884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.12 : 1,291.80 = 641.47 : x
  2. Step 2: Convert to fraction form
    937.12/1,291.80 = 641.47/x
  3. Step 3: Cross multiply
    937.12x = 1,291.80 × 641.47
  4. Step 4: Simplify right side
    937.12x = 828,650.95
  5. Step 5: Solve for x
    x = 828,650.95/937.12
  6. Step 6: Final answer
    x = 884.25

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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.