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Finding the Fourth Proportional to 618.98, 856.37 and 541.58

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Solution

The fourth proportional to 618.98, 856.37 and 541.58 is: 749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 856.37 = 541.58 : x
  2. Step 2: Convert to fraction form
    618.98/856.37 = 541.58/x
  3. Step 3: Cross multiply
    618.98x = 856.37 × 541.58
  4. Step 4: Simplify right side
    618.98x = 463,789.94
  5. Step 5: Solve for x
    x = 463,789.94/618.98
  6. Step 6: Final answer
    x = 749.29

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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.