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Finding the Fourth Proportional to 614.49, 922.66 and 384.83

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Solution

The fourth proportional to 614.49, 922.66 and 384.83 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.49 : 922.66 = 384.83 : x
  2. Step 2: Convert to fraction form
    614.49/922.66 = 384.83/x
  3. Step 3: Cross multiply
    614.49x = 922.66 × 384.83
  4. Step 4: Simplify right side
    614.49x = 355,068.59
  5. Step 5: Solve for x
    x = 355,068.59/614.49
  6. Step 6: Final answer
    x = 577.83

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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.