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Finding the Fourth Proportional to 409.84, 612.17 and 386.15

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Solution

The fourth proportional to 409.84, 612.17 and 386.15 is: 576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 612.17 = 386.15 : x
  2. Step 2: Convert to fraction form
    409.84/612.17 = 386.15/x
  3. Step 3: Cross multiply
    409.84x = 612.17 × 386.15
  4. Step 4: Simplify right side
    409.84x = 236,389.45
  5. Step 5: Solve for x
    x = 236,389.45/409.84
  6. Step 6: Final answer
    x = 576.78

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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.