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Finding the Fourth Proportional to 657.75, 986.63 and 369.20

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Solution

The fourth proportional to 657.75, 986.63 and 369.20 is: 553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 986.63 = 369.20 : x
  2. Step 2: Convert to fraction form
    657.75/986.63 = 369.20/x
  3. Step 3: Cross multiply
    657.75x = 986.63 × 369.20
  4. Step 4: Simplify right side
    657.75x = 364,257.02
  5. Step 5: Solve for x
    x = 364,257.02/657.75
  6. Step 6: Final answer
    x = 553.79

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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.