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Finding the Fourth Proportional to 1,389.57, 2,084.35 and 363.57

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Solution

The fourth proportional to 1,389.57, 2,084.35 and 363.57 is: 545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.57 : 2,084.35 = 363.57 : x
  2. Step 2: Convert to fraction form
    1,389.57/2,084.35 = 363.57/x
  3. Step 3: Cross multiply
    1,389.57x = 2,084.35 × 363.57
  4. Step 4: Simplify right side
    1,389.57x = 757,794.89
  5. Step 5: Solve for x
    x = 757,794.89/1,389.57
  6. Step 6: Final answer
    x = 545.35

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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.