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Finding the Fourth Proportional to 657.15, 984.36 and 409.77

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Solution

The fourth proportional to 657.15, 984.36 and 409.77 is: 613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.15 : 984.36 = 409.77 : x
  2. Step 2: Convert to fraction form
    657.15/984.36 = 409.77/x
  3. Step 3: Cross multiply
    657.15x = 984.36 × 409.77
  4. Step 4: Simplify right side
    657.15x = 403,361.20
  5. Step 5: Solve for x
    x = 403,361.20/657.15
  6. Step 6: Final answer
    x = 613.80

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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.