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Finding the Fourth Proportional to 935.21, 1,287.37 and 809.12

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Solution

The fourth proportional to 935.21, 1,287.37 and 809.12 is: 1,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.21 : 1,287.37 = 809.12 : x
  2. Step 2: Convert to fraction form
    935.21/1,287.37 = 809.12/x
  3. Step 3: Cross multiply
    935.21x = 1,287.37 × 809.12
  4. Step 4: Simplify right side
    935.21x = 1,041,632.77
  5. Step 5: Solve for x
    x = 1,041,632.77/935.21
  6. Step 6: Final answer
    x = 1,113.80

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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.