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Finding the Fourth Proportional to 937.80, 1,291.01 and 828.45

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Solution

The fourth proportional to 937.80, 1,291.01 and 828.45 is: 1,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.80 : 1,291.01 = 828.45 : x
  2. Step 2: Convert to fraction form
    937.80/1,291.01 = 828.45/x
  3. Step 3: Cross multiply
    937.80x = 1,291.01 × 828.45
  4. Step 4: Simplify right side
    937.80x = 1,069,533.09
  5. Step 5: Solve for x
    x = 1,069,533.09/937.80
  6. Step 6: Final answer
    x = 1,140.47

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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.