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Finding the Fourth Proportional to 902.42, 1,354.64 and 699.43

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Solution

The fourth proportional to 902.42, 1,354.64 and 699.43 is: 1,049.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.42 : 1,354.64 = 699.43 : x
  2. Step 2: Convert to fraction form
    902.42/1,354.64 = 699.43/x
  3. Step 3: Cross multiply
    902.42x = 1,354.64 × 699.43
  4. Step 4: Simplify right side
    902.42x = 947,475.86
  5. Step 5: Solve for x
    x = 947,475.86/902.42
  6. Step 6: Final answer
    x = 1,049.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.