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Finding the Fourth Proportional to 618.95, 854.07 and 357.05

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Solution

The fourth proportional to 618.95, 854.07 and 357.05 is: 492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.95 : 854.07 = 357.05 : x
  2. Step 2: Convert to fraction form
    618.95/854.07 = 357.05/x
  3. Step 3: Cross multiply
    618.95x = 854.07 × 357.05
  4. Step 4: Simplify right side
    618.95x = 304,945.69
  5. Step 5: Solve for x
    x = 304,945.69/618.95
  6. Step 6: Final answer
    x = 492.68

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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.