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Finding the Fourth Proportional to 1,149.96, 1,724.64 and 419.40

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Solution

The fourth proportional to 1,149.96, 1,724.64 and 419.40 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.96 : 1,724.64 = 419.40 : x
  2. Step 2: Convert to fraction form
    1,149.96/1,724.64 = 419.40/x
  3. Step 3: Cross multiply
    1,149.96x = 1,724.64 × 419.40
  4. Step 4: Simplify right side
    1,149.96x = 723,314.02
  5. Step 5: Solve for x
    x = 723,314.02/1,149.96
  6. Step 6: Final answer
    x = 628.99

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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.