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Finding the Fourth Proportional to 492.39, 677.48 and 392.86

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Solution

The fourth proportional to 492.39, 677.48 and 392.86 is: 540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 677.48 = 392.86 : x
  2. Step 2: Convert to fraction form
    492.39/677.48 = 392.86/x
  3. Step 3: Cross multiply
    492.39x = 677.48 × 392.86
  4. Step 4: Simplify right side
    492.39x = 266,154.08
  5. Step 5: Solve for x
    x = 266,154.08/492.39
  6. Step 6: Final answer
    x = 540.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.