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Finding the Fourth Proportional to 437.84, 656.77 and 129.70

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Solution

The fourth proportional to 437.84, 656.77 and 129.70 is: 194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 656.77 = 129.70 : x
  2. Step 2: Convert to fraction form
    437.84/656.77 = 129.70/x
  3. Step 3: Cross multiply
    437.84x = 656.77 × 129.70
  4. Step 4: Simplify right side
    437.84x = 85,183.07
  5. Step 5: Solve for x
    x = 85,183.07/437.84
  6. Step 6: Final answer
    x = 194.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.