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Finding the Fourth Proportional to 492.92, 734.74 and 477.20

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Solution

The fourth proportional to 492.92, 734.74 and 477.20 is: 711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.92 : 734.74 = 477.20 : x
  2. Step 2: Convert to fraction form
    492.92/734.74 = 477.20/x
  3. Step 3: Cross multiply
    492.92x = 734.74 × 477.20
  4. Step 4: Simplify right side
    492.92x = 350,617.93
  5. Step 5: Solve for x
    x = 350,617.93/492.92
  6. Step 6: Final answer
    x = 711.31

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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.