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Finding the Fourth Proportional to 426.53, 643.63 and 411.27

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Solution

The fourth proportional to 426.53, 643.63 and 411.27 is: 620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.53 : 643.63 = 411.27 : x
  2. Step 2: Convert to fraction form
    426.53/643.63 = 411.27/x
  3. Step 3: Cross multiply
    426.53x = 643.63 × 411.27
  4. Step 4: Simplify right side
    426.53x = 264,705.71
  5. Step 5: Solve for x
    x = 264,705.71/426.53
  6. Step 6: Final answer
    x = 620.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.