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Finding the Fourth Proportional to 618.51, 926.96 and 463.22

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Solution

The fourth proportional to 618.51, 926.96 and 463.22 is: 694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.51 : 926.96 = 463.22 : x
  2. Step 2: Convert to fraction form
    618.51/926.96 = 463.22/x
  3. Step 3: Cross multiply
    618.51x = 926.96 × 463.22
  4. Step 4: Simplify right side
    618.51x = 429,380.62
  5. Step 5: Solve for x
    x = 429,380.62/618.51
  6. Step 6: Final answer
    x = 694.22

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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.