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Finding the Fourth Proportional to 462.05, 688.81 and 438.96

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Solution

The fourth proportional to 462.05, 688.81 and 438.96 is: 654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.05 : 688.81 = 438.96 : x
  2. Step 2: Convert to fraction form
    462.05/688.81 = 438.96/x
  3. Step 3: Cross multiply
    462.05x = 688.81 × 438.96
  4. Step 4: Simplify right side
    462.05x = 302,358.94
  5. Step 5: Solve for x
    x = 302,358.94/462.05
  6. Step 6: Final answer
    x = 654.39

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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.