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Finding the Fourth Proportional to 411.05, 612.25 and 402.51

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Solution

The fourth proportional to 411.05, 612.25 and 402.51 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.05 : 612.25 = 402.51 : x
  2. Step 2: Convert to fraction form
    411.05/612.25 = 402.51/x
  3. Step 3: Cross multiply
    411.05x = 612.25 × 402.51
  4. Step 4: Simplify right side
    411.05x = 246,433.45
  5. Step 5: Solve for x
    x = 246,433.45/411.05
  6. Step 6: Final answer
    x = 599.52

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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.