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Finding the Fourth Proportional to 665.81, 994.82 and 585.62

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Solution

The fourth proportional to 665.81, 994.82 and 585.62 is: 875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.81 : 994.82 = 585.62 : x
  2. Step 2: Convert to fraction form
    665.81/994.82 = 585.62/x
  3. Step 3: Cross multiply
    665.81x = 994.82 × 585.62
  4. Step 4: Simplify right side
    665.81x = 582,578.59
  5. Step 5: Solve for x
    x = 582,578.59/665.81
  6. Step 6: Final answer
    x = 875.00

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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.