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Finding the Fourth Proportional to 614.61, 921.93 and 342.43

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Solution

The fourth proportional to 614.61, 921.93 and 342.43 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.61 : 921.93 = 342.43 : x
  2. Step 2: Convert to fraction form
    614.61/921.93 = 342.43/x
  3. Step 3: Cross multiply
    614.61x = 921.93 × 342.43
  4. Step 4: Simplify right side
    614.61x = 315,698.06
  5. Step 5: Solve for x
    x = 315,698.06/614.61
  6. Step 6: Final answer
    x = 513.65

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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.