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Finding the Fourth Proportional to 423.73, 583.05 and 411.05

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Solution

The fourth proportional to 423.73, 583.05 and 411.05 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.73 : 583.05 = 411.05 : x
  2. Step 2: Convert to fraction form
    423.73/583.05 = 411.05/x
  3. Step 3: Cross multiply
    423.73x = 583.05 × 411.05
  4. Step 4: Simplify right side
    423.73x = 239,662.70
  5. Step 5: Solve for x
    x = 239,662.70/423.73
  6. Step 6: Final answer
    x = 565.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.