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Finding the Fourth Proportional to 411.48, 613.98 and 370.44

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Solution

The fourth proportional to 411.48, 613.98 and 370.44 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 613.98 = 370.44 : x
  2. Step 2: Convert to fraction form
    411.48/613.98 = 370.44/x
  3. Step 3: Cross multiply
    411.48x = 613.98 × 370.44
  4. Step 4: Simplify right side
    411.48x = 227,442.75
  5. Step 5: Solve for x
    x = 227,442.75/411.48
  6. Step 6: Final answer
    x = 552.74

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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.