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Finding the Fourth Proportional to 657.24, 986.94 and 438.54

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Solution

The fourth proportional to 657.24, 986.94 and 438.54 is: 658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 986.94 = 438.54 : x
  2. Step 2: Convert to fraction form
    657.24/986.94 = 438.54/x
  3. Step 3: Cross multiply
    657.24x = 986.94 × 438.54
  4. Step 4: Simplify right side
    657.24x = 432,812.67
  5. Step 5: Solve for x
    x = 432,812.67/657.24
  6. Step 6: Final answer
    x = 658.53

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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.