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Finding the Fourth Proportional to 1,099.39, 1,649.14 and 612.08

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Solution

The fourth proportional to 1,099.39, 1,649.14 and 612.08 is: 918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.39 : 1,649.14 = 612.08 : x
  2. Step 2: Convert to fraction form
    1,099.39/1,649.14 = 612.08/x
  3. Step 3: Cross multiply
    1,099.39x = 1,649.14 × 612.08
  4. Step 4: Simplify right side
    1,099.39x = 1,009,399.43
  5. Step 5: Solve for x
    x = 1,009,399.43/1,099.39
  6. Step 6: Final answer
    x = 918.14

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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.