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Finding the Fourth Proportional to 491.46, 736.67 and 369.35

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Solution

The fourth proportional to 491.46, 736.67 and 369.35 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.46 : 736.67 = 369.35 : x
  2. Step 2: Convert to fraction form
    491.46/736.67 = 369.35/x
  3. Step 3: Cross multiply
    491.46x = 736.67 × 369.35
  4. Step 4: Simplify right side
    491.46x = 272,083.53
  5. Step 5: Solve for x
    x = 272,083.53/491.46
  6. Step 6: Final answer
    x = 553.62

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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.