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Finding the Fourth Proportional to 618.13, 927.63 and 456.22

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Solution

The fourth proportional to 618.13, 927.63 and 456.22 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.13 : 927.63 = 456.22 : x
  2. Step 2: Convert to fraction form
    618.13/927.63 = 456.22/x
  3. Step 3: Cross multiply
    618.13x = 927.63 × 456.22
  4. Step 4: Simplify right side
    618.13x = 423,203.36
  5. Step 5: Solve for x
    x = 423,203.36/618.13
  6. Step 6: Final answer
    x = 684.65

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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.