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Finding the Fourth Proportional to 491.79, 736.55 and 308.63

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Solution

The fourth proportional to 491.79, 736.55 and 308.63 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.79 : 736.55 = 308.63 : x
  2. Step 2: Convert to fraction form
    491.79/736.55 = 308.63/x
  3. Step 3: Cross multiply
    491.79x = 736.55 × 308.63
  4. Step 4: Simplify right side
    491.79x = 227,322.88
  5. Step 5: Solve for x
    x = 227,322.88/491.79
  6. Step 6: Final answer
    x = 462.23

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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.