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Finding the Fourth Proportional to 492.89, 680.27 and 471.02

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Solution

The fourth proportional to 492.89, 680.27 and 471.02 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.89 : 680.27 = 471.02 : x
  2. Step 2: Convert to fraction form
    492.89/680.27 = 471.02/x
  3. Step 3: Cross multiply
    492.89x = 680.27 × 471.02
  4. Step 4: Simplify right side
    492.89x = 320,415.02
  5. Step 5: Solve for x
    x = 320,415.02/492.89
  6. Step 6: Final answer
    x = 650.08

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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.