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Finding the Fourth Proportional to 491.58, 736.86 and 369.47

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Solution

The fourth proportional to 491.58, 736.86 and 369.47 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.58 : 736.86 = 369.47 : x
  2. Step 2: Convert to fraction form
    491.58/736.86 = 369.47/x
  3. Step 3: Cross multiply
    491.58x = 736.86 × 369.47
  4. Step 4: Simplify right side
    491.58x = 272,247.66
  5. Step 5: Solve for x
    x = 272,247.66/491.58
  6. Step 6: Final answer
    x = 553.82

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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.