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Finding the Fourth Proportional to 491.67, 734.51 and 488.97

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Solution

The fourth proportional to 491.67, 734.51 and 488.97 is: 730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 734.51 = 488.97 : x
  2. Step 2: Convert to fraction form
    491.67/734.51 = 488.97/x
  3. Step 3: Cross multiply
    491.67x = 734.51 × 488.97
  4. Step 4: Simplify right side
    491.67x = 359,154.58
  5. Step 5: Solve for x
    x = 359,154.58/491.67
  6. Step 6: Final answer
    x = 730.48

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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.