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Finding the Fourth Proportional to 665.30, 994.07 and 585.11

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Solution

The fourth proportional to 665.30, 994.07 and 585.11 is: 874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.30 : 994.07 = 585.11 : x
  2. Step 2: Convert to fraction form
    665.30/994.07 = 585.11/x
  3. Step 3: Cross multiply
    665.30x = 994.07 × 585.11
  4. Step 4: Simplify right side
    665.30x = 581,640.30
  5. Step 5: Solve for x
    x = 581,640.30/665.30
  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.