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Finding the Fourth Proportional to 462.93, 697 and 408.43

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Solution

The fourth proportional to 462.93, 697 and 408.43 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.93 : 697 = 408.43 : x
  2. Step 2: Convert to fraction form
    462.93/697 = 408.43/x
  3. Step 3: Cross multiply
    462.93x = 697 × 408.43
  4. Step 4: Simplify right side
    462.93x = 284,675.71
  5. Step 5: Solve for x
    x = 284,675.71/462.93
  6. Step 6: Final answer
    x = 614.94

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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.