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Finding the Fourth Proportional to 492.35, 734.61 and 487.56

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Solution

The fourth proportional to 492.35, 734.61 and 487.56 is: 727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.35 : 734.61 = 487.56 : x
  2. Step 2: Convert to fraction form
    492.35/734.61 = 487.56/x
  3. Step 3: Cross multiply
    492.35x = 734.61 × 487.56
  4. Step 4: Simplify right side
    492.35x = 358,166.45
  5. Step 5: Solve for x
    x = 358,166.45/492.35
  6. Step 6: Final answer
    x = 727.47

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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.