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Finding the Fourth Proportional to 492.52, 679.08 and 380.48

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Solution

The fourth proportional to 492.52, 679.08 and 380.48 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.52 : 679.08 = 380.48 : x
  2. Step 2: Convert to fraction form
    492.52/679.08 = 380.48/x
  3. Step 3: Cross multiply
    492.52x = 679.08 × 380.48
  4. Step 4: Simplify right side
    492.52x = 258,376.36
  5. Step 5: Solve for x
    x = 258,376.36/492.52
  6. Step 6: Final answer
    x = 524.60

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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.