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Finding the Fourth Proportional to 1,091.18, 1,505.58 and 649.22

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Solution

The fourth proportional to 1,091.18, 1,505.58 and 649.22 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.18 : 1,505.58 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,091.18/1,505.58 = 649.22/x
  3. Step 3: Cross multiply
    1,091.18x = 1,505.58 × 649.22
  4. Step 4: Simplify right side
    1,091.18x = 977,452.65
  5. Step 5: Solve for x
    x = 977,452.65/1,091.18
  6. Step 6: Final answer
    x = 895.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.