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Finding the Fourth Proportional to 494.05, 740.54 and 277.17

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Solution

The fourth proportional to 494.05, 740.54 and 277.17 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.05 : 740.54 = 277.17 : x
  2. Step 2: Convert to fraction form
    494.05/740.54 = 277.17/x
  3. Step 3: Cross multiply
    494.05x = 740.54 × 277.17
  4. Step 4: Simplify right side
    494.05x = 205,257.55
  5. Step 5: Solve for x
    x = 205,257.55/494.05
  6. Step 6: Final answer
    x = 415.46

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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.