Home / 1,099.12-1,648.23-405.83

Finding the Fourth Proportional to 1,099.12, 1,648.23 and 405.83

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Solution

The fourth proportional to 1,099.12, 1,648.23 and 405.83 is: 608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.12 : 1,648.23 = 405.83 : x
  2. Step 2: Convert to fraction form
    1,099.12/1,648.23 = 405.83/x
  3. Step 3: Cross multiply
    1,099.12x = 1,648.23 × 405.83
  4. Step 4: Simplify right side
    1,099.12x = 668,901.18
  5. Step 5: Solve for x
    x = 668,901.18/1,099.12
  6. Step 6: Final answer
    x = 608.58

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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.