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Finding the Fourth Proportional to 1,395.48, 2,091.36 and 614.30

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Solution

The fourth proportional to 1,395.48, 2,091.36 and 614.30 is: 920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.48 : 2,091.36 = 614.30 : x
  2. Step 2: Convert to fraction form
    1,395.48/2,091.36 = 614.30/x
  3. Step 3: Cross multiply
    1,395.48x = 2,091.36 × 614.30
  4. Step 4: Simplify right side
    1,395.48x = 1,284,722.45
  5. Step 5: Solve for x
    x = 1,284,722.45/1,395.48
  6. Step 6: Final answer
    x = 920.63

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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.