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Finding the Fourth Proportional to 410.85, 618.66 and 386.55

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Solution

The fourth proportional to 410.85, 618.66 and 386.55 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.85 : 618.66 = 386.55 : x
  2. Step 2: Convert to fraction form
    410.85/618.66 = 386.55/x
  3. Step 3: Cross multiply
    410.85x = 618.66 × 386.55
  4. Step 4: Simplify right side
    410.85x = 239,143.02
  5. Step 5: Solve for x
    x = 239,143.02/410.85
  6. Step 6: Final answer
    x = 582.07

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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.