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Finding the Fourth Proportional to 411.37, 613.47 and 383.70

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Solution

The fourth proportional to 411.37, 613.47 and 383.70 is: 572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.37 : 613.47 = 383.70 : x
  2. Step 2: Convert to fraction form
    411.37/613.47 = 383.70/x
  3. Step 3: Cross multiply
    411.37x = 613.47 × 383.70
  4. Step 4: Simplify right side
    411.37x = 235,388.44
  5. Step 5: Solve for x
    x = 235,388.44/411.37
  6. Step 6: Final answer
    x = 572.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.