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Finding the Fourth Proportional to 1,083.87, 1,624.95 and 390.15

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Solution

The fourth proportional to 1,083.87, 1,624.95 and 390.15 is: 584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.87 : 1,624.95 = 390.15 : x
  2. Step 2: Convert to fraction form
    1,083.87/1,624.95 = 390.15/x
  3. Step 3: Cross multiply
    1,083.87x = 1,624.95 × 390.15
  4. Step 4: Simplify right side
    1,083.87x = 633,974.24
  5. Step 5: Solve for x
    x = 633,974.24/1,083.87
  6. Step 6: Final answer
    x = 584.92

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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.