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Finding the Fourth Proportional to 935.55, 1,408.86 and 815.27

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Solution

The fourth proportional to 935.55, 1,408.86 and 815.27 is: 1,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.55 : 1,408.86 = 815.27 : x
  2. Step 2: Convert to fraction form
    935.55/1,408.86 = 815.27/x
  3. Step 3: Cross multiply
    935.55x = 1,408.86 × 815.27
  4. Step 4: Simplify right side
    935.55x = 1,148,594.25
  5. Step 5: Solve for x
    x = 1,148,594.25/935.55
  6. Step 6: Final answer
    x = 1,227.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.