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Finding the Fourth Proportional to 494.03, 740.74 and 436.38

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Solution

The fourth proportional to 494.03, 740.74 and 436.38 is: 654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.03 : 740.74 = 436.38 : x
  2. Step 2: Convert to fraction form
    494.03/740.74 = 436.38/x
  3. Step 3: Cross multiply
    494.03x = 740.74 × 436.38
  4. Step 4: Simplify right side
    494.03x = 323,244.12
  5. Step 5: Solve for x
    x = 323,244.12/494.03
  6. Step 6: Final answer
    x = 654.30

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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.