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Finding the Fourth Proportional to 618.74, 922.88 and 521.88

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Solution

The fourth proportional to 618.74, 922.88 and 521.88 is: 778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 922.88 = 521.88 : x
  2. Step 2: Convert to fraction form
    618.74/922.88 = 521.88/x
  3. Step 3: Cross multiply
    618.74x = 922.88 × 521.88
  4. Step 4: Simplify right side
    618.74x = 481,632.61
  5. Step 5: Solve for x
    x = 481,632.61/618.74
  6. Step 6: Final answer
    x = 778.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.