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Finding the Fourth Proportional to 1,083.78, 1,624.50 and 534.78

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Solution

The fourth proportional to 1,083.78, 1,624.50 and 534.78 is: 801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.78 : 1,624.50 = 534.78 : x
  2. Step 2: Convert to fraction form
    1,083.78/1,624.50 = 534.78/x
  3. Step 3: Cross multiply
    1,083.78x = 1,624.50 × 534.78
  4. Step 4: Simplify right side
    1,083.78x = 868,750.11
  5. Step 5: Solve for x
    x = 868,750.11/1,083.78
  6. Step 6: Final answer
    x = 801.59

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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.