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Finding the Fourth Proportional to 492.28, 734.35 and 410.20

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Solution

The fourth proportional to 492.28, 734.35 and 410.20 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.28 : 734.35 = 410.20 : x
  2. Step 2: Convert to fraction form
    492.28/734.35 = 410.20/x
  3. Step 3: Cross multiply
    492.28x = 734.35 × 410.20
  4. Step 4: Simplify right side
    492.28x = 301,230.37
  5. Step 5: Solve for x
    x = 301,230.37/492.28
  6. Step 6: Final answer
    x = 611.91

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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.