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Finding the Fourth Proportional to 492.48, 734.76 and 411.48

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Solution

The fourth proportional to 492.48, 734.76 and 411.48 is: 613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 734.76 = 411.48 : x
  2. Step 2: Convert to fraction form
    492.48/734.76 = 411.48/x
  3. Step 3: Cross multiply
    492.48x = 734.76 × 411.48
  4. Step 4: Simplify right side
    492.48x = 302,339.04
  5. Step 5: Solve for x
    x = 302,339.04/492.48
  6. Step 6: Final answer
    x = 613.91

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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.