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Finding the Fourth Proportional to 665.08, 996.85 and 588.19

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Solution

The fourth proportional to 665.08, 996.85 and 588.19 is: 881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.08 : 996.85 = 588.19 : x
  2. Step 2: Convert to fraction form
    665.08/996.85 = 588.19/x
  3. Step 3: Cross multiply
    665.08x = 996.85 × 588.19
  4. Step 4: Simplify right side
    665.08x = 586,337.20
  5. Step 5: Solve for x
    x = 586,337.20/665.08
  6. Step 6: Final answer
    x = 881.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.