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Finding the Fourth Proportional to 618.75, 854.53 and 420.46

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Solution

The fourth proportional to 618.75, 854.53 and 420.46 is: 580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.75 : 854.53 = 420.46 : x
  2. Step 2: Convert to fraction form
    618.75/854.53 = 420.46/x
  3. Step 3: Cross multiply
    618.75x = 854.53 × 420.46
  4. Step 4: Simplify right side
    618.75x = 359,293.58
  5. Step 5: Solve for x
    x = 359,293.58/618.75
  6. Step 6: Final answer
    x = 580.68

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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.