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Finding the Fourth Proportional to 1,099.15, 1,648.73 and 277.45

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Solution

The fourth proportional to 1,099.15, 1,648.73 and 277.45 is: 416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.15 : 1,648.73 = 277.45 : x
  2. Step 2: Convert to fraction form
    1,099.15/1,648.73 = 277.45/x
  3. Step 3: Cross multiply
    1,099.15x = 1,648.73 × 277.45
  4. Step 4: Simplify right side
    1,099.15x = 457,438.75
  5. Step 5: Solve for x
    x = 457,438.75/1,099.15
  6. Step 6: Final answer
    x = 416.18

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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.