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Finding the Fourth Proportional to 1,395.08, 2,092.46 and 369.16

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Solution

The fourth proportional to 1,395.08, 2,092.46 and 369.16 is: 553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.08 : 2,092.46 = 369.16 : x
  2. Step 2: Convert to fraction form
    1,395.08/2,092.46 = 369.16/x
  3. Step 3: Cross multiply
    1,395.08x = 2,092.46 × 369.16
  4. Step 4: Simplify right side
    1,395.08x = 772,452.53
  5. Step 5: Solve for x
    x = 772,452.53/1,395.08
  6. Step 6: Final answer
    x = 553.70

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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.