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Finding the Fourth Proportional to 1,099.94, 1,650.08 and 369.35

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Solution

The fourth proportional to 1,099.94, 1,650.08 and 369.35 is: 554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.94 : 1,650.08 = 369.35 : x
  2. Step 2: Convert to fraction form
    1,099.94/1,650.08 = 369.35/x
  3. Step 3: Cross multiply
    1,099.94x = 1,650.08 × 369.35
  4. Step 4: Simplify right side
    1,099.94x = 609,457.05
  5. Step 5: Solve for x
    x = 609,457.05/1,099.94
  6. Step 6: Final answer
    x = 554.08

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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.