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Finding the Fourth Proportional to 614.69, 920.40 and 419.21

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Solution

The fourth proportional to 614.69, 920.40 and 419.21 is: 627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 920.40 = 419.21 : x
  2. Step 2: Convert to fraction form
    614.69/920.40 = 419.21/x
  3. Step 3: Cross multiply
    614.69x = 920.40 × 419.21
  4. Step 4: Simplify right side
    614.69x = 385,838.16
  5. Step 5: Solve for x
    x = 385,838.16/614.69
  6. Step 6: Final answer
    x = 627.70

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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.