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Finding the Fourth Proportional to 1,083.88, 1,626.18 and 434.80

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Solution

The fourth proportional to 1,083.88, 1,626.18 and 434.80 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.88 : 1,626.18 = 434.80 : x
  2. Step 2: Convert to fraction form
    1,083.88/1,626.18 = 434.80/x
  3. Step 3: Cross multiply
    1,083.88x = 1,626.18 × 434.80
  4. Step 4: Simplify right side
    1,083.88x = 707,063.06
  5. Step 5: Solve for x
    x = 707,063.06/1,083.88
  6. Step 6: Final answer
    x = 652.34

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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.