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Finding the Fourth Proportional to 618.70, 856.05 and 540.19

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Solution

The fourth proportional to 618.70, 856.05 and 540.19 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.70 : 856.05 = 540.19 : x
  2. Step 2: Convert to fraction form
    618.70/856.05 = 540.19/x
  3. Step 3: Cross multiply
    618.70x = 856.05 × 540.19
  4. Step 4: Simplify right side
    618.70x = 462,429.65
  5. Step 5: Solve for x
    x = 462,429.65/618.70
  6. Step 6: Final answer
    x = 747.42

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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.