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Finding the Fourth Proportional to 491.40, 735.75 and 274.59

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Solution

The fourth proportional to 491.40, 735.75 and 274.59 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.40 : 735.75 = 274.59 : x
  2. Step 2: Convert to fraction form
    491.40/735.75 = 274.59/x
  3. Step 3: Cross multiply
    491.40x = 735.75 × 274.59
  4. Step 4: Simplify right side
    491.40x = 202,029.59
  5. Step 5: Solve for x
    x = 202,029.59/491.40
  6. Step 6: Final answer
    x = 411.13

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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.