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Finding the Fourth Proportional to 1,097.79, 1,644.95 and 403.50

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Solution

The fourth proportional to 1,097.79, 1,644.95 and 403.50 is: 604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.79 : 1,644.95 = 403.50 : x
  2. Step 2: Convert to fraction form
    1,097.79/1,644.95 = 403.50/x
  3. Step 3: Cross multiply
    1,097.79x = 1,644.95 × 403.50
  4. Step 4: Simplify right side
    1,097.79x = 663,737.33
  5. Step 5: Solve for x
    x = 663,737.33/1,097.79
  6. Step 6: Final answer
    x = 604.61

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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.