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Finding the Fourth Proportional to 465.20, 693.70 and 439.28

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Solution

The fourth proportional to 465.20, 693.70 and 439.28 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.20 : 693.70 = 439.28 : x
  2. Step 2: Convert to fraction form
    465.20/693.70 = 439.28/x
  3. Step 3: Cross multiply
    465.20x = 693.70 × 439.28
  4. Step 4: Simplify right side
    465.20x = 304,728.54
  5. Step 5: Solve for x
    x = 304,728.54/465.20
  6. Step 6: Final answer
    x = 655.05

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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.