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Finding the Fourth Proportional to 496, 743 and 414.58

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Solution

The fourth proportional to 496, 743 and 414.58 is: 621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 743 = 414.58 : x
  2. Step 2: Convert to fraction form
    496/743 = 414.58/x
  3. Step 3: Cross multiply
    496x = 743 × 414.58
  4. Step 4: Simplify right side
    496x = 308,032.94
  5. Step 5: Solve for x
    x = 308,032.94/496
  6. Step 6: Final answer
    x = 621.03

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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.