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Finding the Fourth Proportional to 494.78, 740.61 and 277.70

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Solution

The fourth proportional to 494.78, 740.61 and 277.70 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.78 : 740.61 = 277.70 : x
  2. Step 2: Convert to fraction form
    494.78/740.61 = 277.70/x
  3. Step 3: Cross multiply
    494.78x = 740.61 × 277.70
  4. Step 4: Simplify right side
    494.78x = 205,667.40
  5. Step 5: Solve for x
    x = 205,667.40/494.78
  6. Step 6: Final answer
    x = 415.67

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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.