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Finding the Fourth Proportional to 491.61, 734.25 and 445.23

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Solution

The fourth proportional to 491.61, 734.25 and 445.23 is: 664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.61 : 734.25 = 445.23 : x
  2. Step 2: Convert to fraction form
    491.61/734.25 = 445.23/x
  3. Step 3: Cross multiply
    491.61x = 734.25 × 445.23
  4. Step 4: Simplify right side
    491.61x = 326,914.74
  5. Step 5: Solve for x
    x = 326,914.74/491.61
  6. Step 6: Final answer
    x = 664.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.