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Finding the Fourth Proportional to 491, 735.86 and 274.68

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Solution

The fourth proportional to 491, 735.86 and 274.68 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491 : 735.86 = 274.68 : x
  2. Step 2: Convert to fraction form
    491/735.86 = 274.68/x
  3. Step 3: Cross multiply
    491x = 735.86 × 274.68
  4. Step 4: Simplify right side
    491x = 202,126.02
  5. Step 5: Solve for x
    x = 202,126.02/491
  6. Step 6: Final answer
    x = 411.66

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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.