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Finding the Fourth Proportional to 492.01, 736.70 and 394.07

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Solution

The fourth proportional to 492.01, 736.70 and 394.07 is: 590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.01 : 736.70 = 394.07 : x
  2. Step 2: Convert to fraction form
    492.01/736.70 = 394.07/x
  3. Step 3: Cross multiply
    492.01x = 736.70 × 394.07
  4. Step 4: Simplify right side
    492.01x = 290,305.72
  5. Step 5: Solve for x
    x = 290,305.72/492.01
  6. Step 6: Final answer
    x = 590.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.