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Finding the Fourth Proportional to 668.82, 998.06 and 587.82

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Solution

The fourth proportional to 668.82, 998.06 and 587.82 is: 877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.82 : 998.06 = 587.82 : x
  2. Step 2: Convert to fraction form
    668.82/998.06 = 587.82/x
  3. Step 3: Cross multiply
    668.82x = 998.06 × 587.82
  4. Step 4: Simplify right side
    668.82x = 586,682.12
  5. Step 5: Solve for x
    x = 586,682.12/668.82
  6. Step 6: Final answer
    x = 877.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.