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Finding the Fourth Proportional to 1,083.34, 1,626.63 and 1,045.54

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Solution

The fourth proportional to 1,083.34, 1,626.63 and 1,045.54 is: 1,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.34 : 1,626.63 = 1,045.54 : x
  2. Step 2: Convert to fraction form
    1,083.34/1,626.63 = 1,045.54/x
  3. Step 3: Cross multiply
    1,083.34x = 1,626.63 × 1,045.54
  4. Step 4: Simplify right side
    1,083.34x = 1,700,706.73
  5. Step 5: Solve for x
    x = 1,700,706.73/1,083.34
  6. Step 6: Final answer
    x = 1,569.87

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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.