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Finding the Fourth Proportional to 618.16, 930.70 and 427.04

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Solution

The fourth proportional to 618.16, 930.70 and 427.04 is: 642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 930.70 = 427.04 : x
  2. Step 2: Convert to fraction form
    618.16/930.70 = 427.04/x
  3. Step 3: Cross multiply
    618.16x = 930.70 × 427.04
  4. Step 4: Simplify right side
    618.16x = 397,446.13
  5. Step 5: Solve for x
    x = 397,446.13/618.16
  6. Step 6: Final answer
    x = 642.95

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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.