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Finding the Fourth Proportional to 1,091.35, 1,505.67 and 649.09

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Solution

The fourth proportional to 1,091.35, 1,505.67 and 649.09 is: 895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.35 : 1,505.67 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,091.35/1,505.67 = 649.09/x
  3. Step 3: Cross multiply
    1,091.35x = 1,505.67 × 649.09
  4. Step 4: Simplify right side
    1,091.35x = 977,307.81
  5. Step 5: Solve for x
    x = 977,307.81/1,091.35
  6. Step 6: Final answer
    x = 895.51

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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.