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Finding the Fourth Proportional to 1,099.65, 1,649.60 and 359.33

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Solution

The fourth proportional to 1,099.65, 1,649.60 and 359.33 is: 539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.65 : 1,649.60 = 359.33 : x
  2. Step 2: Convert to fraction form
    1,099.65/1,649.60 = 359.33/x
  3. Step 3: Cross multiply
    1,099.65x = 1,649.60 × 359.33
  4. Step 4: Simplify right side
    1,099.65x = 592,751.67
  5. Step 5: Solve for x
    x = 592,751.67/1,099.65
  6. Step 6: Final answer
    x = 539.04

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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.