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Finding the Fourth Proportional to 1,395.80, 2,091.52 and 573.38

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Solution

The fourth proportional to 1,395.80, 2,091.52 and 573.38 is: 859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.80 : 2,091.52 = 573.38 : x
  2. Step 2: Convert to fraction form
    1,395.80/2,091.52 = 573.38/x
  3. Step 3: Cross multiply
    1,395.80x = 2,091.52 × 573.38
  4. Step 4: Simplify right side
    1,395.80x = 1,199,235.74
  5. Step 5: Solve for x
    x = 1,199,235.74/1,395.80
  6. Step 6: Final answer
    x = 859.17

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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.