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Finding the Fourth Proportional to 1,148.79, 1,722.17 and 418.23

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Solution

The fourth proportional to 1,148.79, 1,722.17 and 418.23 is: 626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.79 : 1,722.17 = 418.23 : x
  2. Step 2: Convert to fraction form
    1,148.79/1,722.17 = 418.23/x
  3. Step 3: Cross multiply
    1,148.79x = 1,722.17 × 418.23
  4. Step 4: Simplify right side
    1,148.79x = 720,254.55
  5. Step 5: Solve for x
    x = 720,254.55/1,148.79
  6. Step 6: Final answer
    x = 626.97

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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.