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Finding the Fourth Proportional to 493.48, 734.74 and 491.05

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Solution

The fourth proportional to 493.48, 734.74 and 491.05 is: 731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.48 : 734.74 = 491.05 : x
  2. Step 2: Convert to fraction form
    493.48/734.74 = 491.05/x
  3. Step 3: Cross multiply
    493.48x = 734.74 × 491.05
  4. Step 4: Simplify right side
    493.48x = 360,794.08
  5. Step 5: Solve for x
    x = 360,794.08/493.48
  6. Step 6: Final answer
    x = 731.12

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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.