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Finding the Fourth Proportional to 1,083.05, 1,623.63 and 561.95

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Solution

The fourth proportional to 1,083.05, 1,623.63 and 561.95 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.05 : 1,623.63 = 561.95 : x
  2. Step 2: Convert to fraction form
    1,083.05/1,623.63 = 561.95/x
  3. Step 3: Cross multiply
    1,083.05x = 1,623.63 × 561.95
  4. Step 4: Simplify right side
    1,083.05x = 912,398.88
  5. Step 5: Solve for x
    x = 912,398.88/1,083.05
  6. Step 6: Final answer
    x = 842.43

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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.