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Finding the Fourth Proportional to 614.17, 922.16 and 384.04

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Solution

The fourth proportional to 614.17, 922.16 and 384.04 is: 576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.17 : 922.16 = 384.04 : x
  2. Step 2: Convert to fraction form
    614.17/922.16 = 384.04/x
  3. Step 3: Cross multiply
    614.17x = 922.16 × 384.04
  4. Step 4: Simplify right side
    614.17x = 354,146.33
  5. Step 5: Solve for x
    x = 354,146.33/614.17
  6. Step 6: Final answer
    x = 576.63

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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.