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Finding the Fourth Proportional to 1,389.63, 2,084.54 and 465.15

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Solution

The fourth proportional to 1,389.63, 2,084.54 and 465.15 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.63 : 2,084.54 = 465.15 : x
  2. Step 2: Convert to fraction form
    1,389.63/2,084.54 = 465.15/x
  3. Step 3: Cross multiply
    1,389.63x = 2,084.54 × 465.15
  4. Step 4: Simplify right side
    1,389.63x = 969,623.78
  5. Step 5: Solve for x
    x = 969,623.78/1,389.63
  6. Step 6: Final answer
    x = 697.76

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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.