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Finding the Fourth Proportional to 614.78, 922.98 and 355.04

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Solution

The fourth proportional to 614.78, 922.98 and 355.04 is: 533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.78 : 922.98 = 355.04 : x
  2. Step 2: Convert to fraction form
    614.78/922.98 = 355.04/x
  3. Step 3: Cross multiply
    614.78x = 922.98 × 355.04
  4. Step 4: Simplify right side
    614.78x = 327,694.82
  5. Step 5: Solve for x
    x = 327,694.82/614.78
  6. Step 6: Final answer
    x = 533.03

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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.