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Finding the Fourth Proportional to 491.67, 738.53 and 414.79

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Solution

The fourth proportional to 491.67, 738.53 and 414.79 is: 623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.67 : 738.53 = 414.79 : x
  2. Step 2: Convert to fraction form
    491.67/738.53 = 414.79/x
  3. Step 3: Cross multiply
    491.67x = 738.53 × 414.79
  4. Step 4: Simplify right side
    491.67x = 306,334.83
  5. Step 5: Solve for x
    x = 306,334.83/491.67
  6. Step 6: Final answer
    x = 623.05

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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.