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Finding the Fourth Proportional to 935.28, 1,289.93 and 824.85

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Solution

The fourth proportional to 935.28, 1,289.93 and 824.85 is: 1,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.28 : 1,289.93 = 824.85 : x
  2. Step 2: Convert to fraction form
    935.28/1,289.93 = 824.85/x
  3. Step 3: Cross multiply
    935.28x = 1,289.93 × 824.85
  4. Step 4: Simplify right side
    935.28x = 1,063,994.64
  5. Step 5: Solve for x
    x = 1,063,994.64/935.28
  6. Step 6: Final answer
    x = 1,137.62

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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.