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Finding the Fourth Proportional to 1,096.30, 1,643.88 and 402.94

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Solution

The fourth proportional to 1,096.30, 1,643.88 and 402.94 is: 604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.30 : 1,643.88 = 402.94 : x
  2. Step 2: Convert to fraction form
    1,096.30/1,643.88 = 402.94/x
  3. Step 3: Cross multiply
    1,096.30x = 1,643.88 × 402.94
  4. Step 4: Simplify right side
    1,096.30x = 662,385.01
  5. Step 5: Solve for x
    x = 662,385.01/1,096.30
  6. Step 6: Final answer
    x = 604.20

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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.