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Finding the Fourth Proportional to 618.42, 931.78 and 552.12

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Solution

The fourth proportional to 618.42, 931.78 and 552.12 is: 831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 931.78 = 552.12 : x
  2. Step 2: Convert to fraction form
    618.42/931.78 = 552.12/x
  3. Step 3: Cross multiply
    618.42x = 931.78 × 552.12
  4. Step 4: Simplify right side
    618.42x = 514,454.37
  5. Step 5: Solve for x
    x = 514,454.37/618.42
  6. Step 6: Final answer
    x = 831.89

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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.