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Finding the Fourth Proportional to 618.74, 927.15 and 412.54

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Solution

The fourth proportional to 618.74, 927.15 and 412.54 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 927.15 = 412.54 : x
  2. Step 2: Convert to fraction form
    618.74/927.15 = 412.54/x
  3. Step 3: Cross multiply
    618.74x = 927.15 × 412.54
  4. Step 4: Simplify right side
    618.74x = 382,487.81
  5. Step 5: Solve for x
    x = 382,487.81/618.74
  6. Step 6: Final answer
    x = 618.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.