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Finding the Fourth Proportional to 454, 681.72 and 439.24

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Solution

The fourth proportional to 454, 681.72 and 439.24 is: 659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454 : 681.72 = 439.24 : x
  2. Step 2: Convert to fraction form
    454/681.72 = 439.24/x
  3. Step 3: Cross multiply
    454x = 681.72 × 439.24
  4. Step 4: Simplify right side
    454x = 299,438.69
  5. Step 5: Solve for x
    x = 299,438.69/454
  6. Step 6: Final answer
    x = 659.56

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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.