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Finding the Fourth Proportional to 1,149.19, 1,720.70 and 685.82

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Solution

The fourth proportional to 1,149.19, 1,720.70 and 685.82 is: 1,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.19 : 1,720.70 = 685.82 : x
  2. Step 2: Convert to fraction form
    1,149.19/1,720.70 = 685.82/x
  3. Step 3: Cross multiply
    1,149.19x = 1,720.70 × 685.82
  4. Step 4: Simplify right side
    1,149.19x = 1,180,090.47
  5. Step 5: Solve for x
    x = 1,180,090.47/1,149.19
  6. Step 6: Final answer
    x = 1,026.89

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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.