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Finding the Fourth Proportional to 1,389.42, 2,084.04 and 415.50

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Solution

The fourth proportional to 1,389.42, 2,084.04 and 415.50 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.42 : 2,084.04 = 415.50 : x
  2. Step 2: Convert to fraction form
    1,389.42/2,084.04 = 415.50/x
  3. Step 3: Cross multiply
    1,389.42x = 2,084.04 × 415.50
  4. Step 4: Simplify right side
    1,389.42x = 865,918.62
  5. Step 5: Solve for x
    x = 865,918.62/1,389.42
  6. Step 6: Final answer
    x = 623.22

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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.