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Finding the Fourth Proportional to 666.83, 995.10 and 585.84

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Solution

The fourth proportional to 666.83, 995.10 and 585.84 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.83 : 995.10 = 585.84 : x
  2. Step 2: Convert to fraction form
    666.83/995.10 = 585.84/x
  3. Step 3: Cross multiply
    666.83x = 995.10 × 585.84
  4. Step 4: Simplify right side
    666.83x = 582,969.38
  5. Step 5: Solve for x
    x = 582,969.38/666.83
  6. Step 6: Final answer
    x = 874.25

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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.