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Finding the Fourth Proportional to 1,083.50, 1,624.27 and 390.01

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Solution

The fourth proportional to 1,083.50, 1,624.27 and 390.01 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.50 : 1,624.27 = 390.01 : x
  2. Step 2: Convert to fraction form
    1,083.50/1,624.27 = 390.01/x
  3. Step 3: Cross multiply
    1,083.50x = 1,624.27 × 390.01
  4. Step 4: Simplify right side
    1,083.50x = 633,486.92
  5. Step 5: Solve for x
    x = 633,486.92/1,083.50
  6. Step 6: Final answer
    x = 584.66

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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.