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Finding the Fourth Proportional to 1,099.86, 1,648.80 and 406.05

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Solution

The fourth proportional to 1,099.86, 1,648.80 and 406.05 is: 608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.86 : 1,648.80 = 406.05 : x
  2. Step 2: Convert to fraction form
    1,099.86/1,648.80 = 406.05/x
  3. Step 3: Cross multiply
    1,099.86x = 1,648.80 × 406.05
  4. Step 4: Simplify right side
    1,099.86x = 669,495.24
  5. Step 5: Solve for x
    x = 669,495.24/1,099.86
  6. Step 6: Final answer
    x = 608.71

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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.