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Finding the Fourth Proportional to 411.15, 613.27 and 374.24

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Solution

The fourth proportional to 411.15, 613.27 and 374.24 is: 558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.15 : 613.27 = 374.24 : x
  2. Step 2: Convert to fraction form
    411.15/613.27 = 374.24/x
  3. Step 3: Cross multiply
    411.15x = 613.27 × 374.24
  4. Step 4: Simplify right side
    411.15x = 229,510.16
  5. Step 5: Solve for x
    x = 229,510.16/411.15
  6. Step 6: Final answer
    x = 558.22

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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.