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Finding the Fourth Proportional to 492.31, 734.61 and 440.60

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Solution

The fourth proportional to 492.31, 734.61 and 440.60 is: 657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.31 : 734.61 = 440.60 : x
  2. Step 2: Convert to fraction form
    492.31/734.61 = 440.60/x
  3. Step 3: Cross multiply
    492.31x = 734.61 × 440.60
  4. Step 4: Simplify right side
    492.31x = 323,663.29
  5. Step 5: Solve for x
    x = 323,663.29/492.31
  6. Step 6: Final answer
    x = 657.44

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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.