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Finding the Fourth Proportional to 614.49, 921.58 and 419.46

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Solution

The fourth proportional to 614.49, 921.58 and 419.46 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.49 : 921.58 = 419.46 : x
  2. Step 2: Convert to fraction form
    614.49/921.58 = 419.46/x
  3. Step 3: Cross multiply
    614.49x = 921.58 × 419.46
  4. Step 4: Simplify right side
    614.49x = 386,563.96
  5. Step 5: Solve for x
    x = 386,563.96/614.49
  6. Step 6: Final answer
    x = 629.08

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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.