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Finding the Fourth Proportional to 665.54, 999.02 and 588.99

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Solution

The fourth proportional to 665.54, 999.02 and 588.99 is: 884.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.54 : 999.02 = 588.99 : x
  2. Step 2: Convert to fraction form
    665.54/999.02 = 588.99/x
  3. Step 3: Cross multiply
    665.54x = 999.02 × 588.99
  4. Step 4: Simplify right side
    665.54x = 588,412.79
  5. Step 5: Solve for x
    x = 588,412.79/665.54
  6. Step 6: Final answer
    x = 884.11

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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.