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Finding the Fourth Proportional to 1,100.96, 1,651.42 and 370.53

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Solution

The fourth proportional to 1,100.96, 1,651.42 and 370.53 is: 555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.96 : 1,651.42 = 370.53 : x
  2. Step 2: Convert to fraction form
    1,100.96/1,651.42 = 370.53/x
  3. Step 3: Cross multiply
    1,100.96x = 1,651.42 × 370.53
  4. Step 4: Simplify right side
    1,100.96x = 611,900.65
  5. Step 5: Solve for x
    x = 611,900.65/1,100.96
  6. Step 6: Final answer
    x = 555.79

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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.