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Finding the Fourth Proportional to 491.17, 735.33 and 382.63

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Solution

The fourth proportional to 491.17, 735.33 and 382.63 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.17 : 735.33 = 382.63 : x
  2. Step 2: Convert to fraction form
    491.17/735.33 = 382.63/x
  3. Step 3: Cross multiply
    491.17x = 735.33 × 382.63
  4. Step 4: Simplify right side
    491.17x = 281,357.48
  5. Step 5: Solve for x
    x = 281,357.48/491.17
  6. Step 6: Final answer
    x = 572.83

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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.