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Finding the Fourth Proportional to 411.58, 612.11 and 403.36

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Solution

The fourth proportional to 411.58, 612.11 and 403.36 is: 599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.58 : 612.11 = 403.36 : x
  2. Step 2: Convert to fraction form
    411.58/612.11 = 403.36/x
  3. Step 3: Cross multiply
    411.58x = 612.11 × 403.36
  4. Step 4: Simplify right side
    411.58x = 246,900.69
  5. Step 5: Solve for x
    x = 246,900.69/411.58
  6. Step 6: Final answer
    x = 599.89

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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.