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Finding the Fourth Proportional to 666.82, 995.09 and 594.10

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Solution

The fourth proportional to 666.82, 995.09 and 594.10 is: 886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.82 : 995.09 = 594.10 : x
  2. Step 2: Convert to fraction form
    666.82/995.09 = 594.10/x
  3. Step 3: Cross multiply
    666.82x = 995.09 × 594.10
  4. Step 4: Simplify right side
    666.82x = 591,180.00
  5. Step 5: Solve for x
    x = 591,180.00/666.82
  6. Step 6: Final answer
    x = 886.57

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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.