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Finding the Fourth Proportional to 409, 616.32 and 370.48

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Solution

The fourth proportional to 409, 616.32 and 370.48 is: 558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 616.32 = 370.48 : x
  2. Step 2: Convert to fraction form
    409/616.32 = 370.48/x
  3. Step 3: Cross multiply
    409x = 616.32 × 370.48
  4. Step 4: Simplify right side
    409x = 228,334.23
  5. Step 5: Solve for x
    x = 228,334.23/409
  6. Step 6: Final answer
    x = 558.27

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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.