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Finding the Fourth Proportional to 491.13, 739.62 and 414.59

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Solution

The fourth proportional to 491.13, 739.62 and 414.59 is: 624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.13 : 739.62 = 414.59 : x
  2. Step 2: Convert to fraction form
    491.13/739.62 = 414.59/x
  3. Step 3: Cross multiply
    491.13x = 739.62 × 414.59
  4. Step 4: Simplify right side
    491.13x = 306,635.36
  5. Step 5: Solve for x
    x = 306,635.36/491.13
  6. Step 6: Final answer
    x = 624.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.