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Finding the Fourth Proportional to 1,203.25, 1,805.16 and 370.28

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Solution

The fourth proportional to 1,203.25, 1,805.16 and 370.28 is: 555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.25 : 1,805.16 = 370.28 : x
  2. Step 2: Convert to fraction form
    1,203.25/1,805.16 = 370.28/x
  3. Step 3: Cross multiply
    1,203.25x = 1,805.16 × 370.28
  4. Step 4: Simplify right side
    1,203.25x = 668,415.16
  5. Step 5: Solve for x
    x = 668,415.16/1,203.25
  6. Step 6: Final answer
    x = 555.51

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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.