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Finding the Fourth Proportional to 1,099.72, 1,649.74 and 369.14

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Solution

The fourth proportional to 1,099.72, 1,649.74 and 369.14 is: 553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.72 : 1,649.74 = 369.14 : x
  2. Step 2: Convert to fraction form
    1,099.72/1,649.74 = 369.14/x
  3. Step 3: Cross multiply
    1,099.72x = 1,649.74 × 369.14
  4. Step 4: Simplify right side
    1,099.72x = 608,985.02
  5. Step 5: Solve for x
    x = 608,985.02/1,099.72
  6. Step 6: Final answer
    x = 553.76

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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.