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Finding the Fourth Proportional to 618.01, 930.67 and 537.82

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Solution

The fourth proportional to 618.01, 930.67 and 537.82 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.01 : 930.67 = 537.82 : x
  2. Step 2: Convert to fraction form
    618.01/930.67 = 537.82/x
  3. Step 3: Cross multiply
    618.01x = 930.67 × 537.82
  4. Step 4: Simplify right side
    618.01x = 500,532.94
  5. Step 5: Solve for x
    x = 500,532.94/618.01
  6. Step 6: Final answer
    x = 809.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.