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Finding the Fourth Proportional to 935.85, 1,290.71 and 823.57

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Solution

The fourth proportional to 935.85, 1,290.71 and 823.57 is: 1,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.85 : 1,290.71 = 823.57 : x
  2. Step 2: Convert to fraction form
    935.85/1,290.71 = 823.57/x
  3. Step 3: Cross multiply
    935.85x = 1,290.71 × 823.57
  4. Step 4: Simplify right side
    935.85x = 1,062,990.03
  5. Step 5: Solve for x
    x = 1,062,990.03/935.85
  6. Step 6: Final answer
    x = 1,135.86

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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.