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Finding the Fourth Proportional to 439.72, 661.00 and 354.01

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Solution

The fourth proportional to 439.72, 661.00 and 354.01 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.72 : 661.00 = 354.01 : x
  2. Step 2: Convert to fraction form
    439.72/661.00 = 354.01/x
  3. Step 3: Cross multiply
    439.72x = 661.00 × 354.01
  4. Step 4: Simplify right side
    439.72x = 233,998.55
  5. Step 5: Solve for x
    x = 233,998.55/439.72
  6. Step 6: Final answer
    x = 532.16

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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.