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Finding the Fourth Proportional to 1,083.34, 1,625.01 and 342.95

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Solution

The fourth proportional to 1,083.34, 1,625.01 and 342.95 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.34 : 1,625.01 = 342.95 : x
  2. Step 2: Convert to fraction form
    1,083.34/1,625.01 = 342.95/x
  3. Step 3: Cross multiply
    1,083.34x = 1,625.01 × 342.95
  4. Step 4: Simplify right side
    1,083.34x = 557,298.84
  5. Step 5: Solve for x
    x = 557,298.84/1,083.34
  6. Step 6: Final answer
    x = 514.43

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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.