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Finding the Fourth Proportional to 1,395.23, 2,089.46 and 808.38

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Solution

The fourth proportional to 1,395.23, 2,089.46 and 808.38 is: 1,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.23 : 2,089.46 = 808.38 : x
  2. Step 2: Convert to fraction form
    1,395.23/2,089.46 = 808.38/x
  3. Step 3: Cross multiply
    1,395.23x = 2,089.46 × 808.38
  4. Step 4: Simplify right side
    1,395.23x = 1,689,079.70
  5. Step 5: Solve for x
    x = 1,689,079.70/1,395.23
  6. Step 6: Final answer
    x = 1,210.61

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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.