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Finding the Fourth Proportional to 1,090.84, 1,505.56 and 649

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Solution

The fourth proportional to 1,090.84, 1,505.56 and 649 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.84 : 1,505.56 = 649 : x
  2. Step 2: Convert to fraction form
    1,090.84/1,505.56 = 649/x
  3. Step 3: Cross multiply
    1,090.84x = 1,505.56 × 649
  4. Step 4: Simplify right side
    1,090.84x = 977,108.44
  5. Step 5: Solve for x
    x = 977,108.44/1,090.84
  6. Step 6: Final answer
    x = 895.74

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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.