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Finding the Fourth Proportional to 618.30, 854.37 and 461.57

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Solution

The fourth proportional to 618.30, 854.37 and 461.57 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 854.37 = 461.57 : x
  2. Step 2: Convert to fraction form
    618.30/854.37 = 461.57/x
  3. Step 3: Cross multiply
    618.30x = 854.37 × 461.57
  4. Step 4: Simplify right side
    618.30x = 394,347.29
  5. Step 5: Solve for x
    x = 394,347.29/618.30
  6. Step 6: Final answer
    x = 637.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.