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Finding the Fourth Proportional to 411.48, 612.36 and 397.98

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Solution

The fourth proportional to 411.48, 612.36 and 397.98 is: 592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 612.36 = 397.98 : x
  2. Step 2: Convert to fraction form
    411.48/612.36 = 397.98/x
  3. Step 3: Cross multiply
    411.48x = 612.36 × 397.98
  4. Step 4: Simplify right side
    411.48x = 243,707.03
  5. Step 5: Solve for x
    x = 243,707.03/411.48
  6. Step 6: Final answer
    x = 592.27

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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.