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Finding the Fourth Proportional to 666.86, 998.88 and 392.12

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Solution

The fourth proportional to 666.86, 998.88 and 392.12 is: 587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.86 : 998.88 = 392.12 : x
  2. Step 2: Convert to fraction form
    666.86/998.88 = 392.12/x
  3. Step 3: Cross multiply
    666.86x = 998.88 × 392.12
  4. Step 4: Simplify right side
    666.86x = 391,680.83
  5. Step 5: Solve for x
    x = 391,680.83/666.86
  6. Step 6: Final answer
    x = 587.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.