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Finding the Fourth Proportional to 935.18, 1,394.62 and 820.16

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Solution

The fourth proportional to 935.18, 1,394.62 and 820.16 is: 1,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.18 : 1,394.62 = 820.16 : x
  2. Step 2: Convert to fraction form
    935.18/1,394.62 = 820.16/x
  3. Step 3: Cross multiply
    935.18x = 1,394.62 × 820.16
  4. Step 4: Simplify right side
    935.18x = 1,143,811.54
  5. Step 5: Solve for x
    x = 1,143,811.54/935.18
  6. Step 6: Final answer
    x = 1,223.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.