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Finding the Fourth Proportional to 462.46, 697.69 and 439.69

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Solution

The fourth proportional to 462.46, 697.69 and 439.69 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 697.69 = 439.69 : x
  2. Step 2: Convert to fraction form
    462.46/697.69 = 439.69/x
  3. Step 3: Cross multiply
    462.46x = 697.69 × 439.69
  4. Step 4: Simplify right side
    462.46x = 306,767.32
  5. Step 5: Solve for x
    x = 306,767.32/462.46
  6. Step 6: Final answer
    x = 663.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.