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Finding the Fourth Proportional to 409.86, 617.90 and 364.77

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Solution

The fourth proportional to 409.86, 617.90 and 364.77 is: 549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 617.90 = 364.77 : x
  2. Step 2: Convert to fraction form
    409.86/617.90 = 364.77/x
  3. Step 3: Cross multiply
    409.86x = 617.90 × 364.77
  4. Step 4: Simplify right side
    409.86x = 225,389.56
  5. Step 5: Solve for x
    x = 225,389.56/409.86
  6. Step 6: Final answer
    x = 549.92

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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.