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Finding the Fourth Proportional to 1,148.90, 1,724.25 and 418.68

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Solution

The fourth proportional to 1,148.90, 1,724.25 and 418.68 is: 628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.90 : 1,724.25 = 418.68 : x
  2. Step 2: Convert to fraction form
    1,148.90/1,724.25 = 418.68/x
  3. Step 3: Cross multiply
    1,148.90x = 1,724.25 × 418.68
  4. Step 4: Simplify right side
    1,148.90x = 721,908.99
  5. Step 5: Solve for x
    x = 721,908.99/1,148.90
  6. Step 6: Final answer
    x = 628.35

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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.