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Finding the Fourth Proportional to 494.72, 740.48 and 379.58

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Solution

The fourth proportional to 494.72, 740.48 and 379.58 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.72 : 740.48 = 379.58 : x
  2. Step 2: Convert to fraction form
    494.72/740.48 = 379.58/x
  3. Step 3: Cross multiply
    494.72x = 740.48 × 379.58
  4. Step 4: Simplify right side
    494.72x = 281,071.40
  5. Step 5: Solve for x
    x = 281,071.40/494.72
  6. Step 6: Final answer
    x = 568.14

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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.