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Finding the Fourth Proportional to 1,767.21, 2,649.13 and 656.33

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Solution

The fourth proportional to 1,767.21, 2,649.13 and 656.33 is: 983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.21 : 2,649.13 = 656.33 : x
  2. Step 2: Convert to fraction form
    1,767.21/2,649.13 = 656.33/x
  3. Step 3: Cross multiply
    1,767.21x = 2,649.13 × 656.33
  4. Step 4: Simplify right side
    1,767.21x = 1,738,703.66
  5. Step 5: Solve for x
    x = 1,738,703.66/1,767.21
  6. Step 6: Final answer
    x = 983.87

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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.