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Finding the Fourth Proportional to 614.66, 921.92 and 306.45

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Solution

The fourth proportional to 614.66, 921.92 and 306.45 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.66 : 921.92 = 306.45 : x
  2. Step 2: Convert to fraction form
    614.66/921.92 = 306.45/x
  3. Step 3: Cross multiply
    614.66x = 921.92 × 306.45
  4. Step 4: Simplify right side
    614.66x = 282,520.85
  5. Step 5: Solve for x
    x = 282,520.85/614.66
  6. Step 6: Final answer
    x = 459.64

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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.