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Finding the Fourth Proportional to 1,334.67, 2,002.23 and 360.87

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Solution

The fourth proportional to 1,334.67, 2,002.23 and 360.87 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.67 : 2,002.23 = 360.87 : x
  2. Step 2: Convert to fraction form
    1,334.67/2,002.23 = 360.87/x
  3. Step 3: Cross multiply
    1,334.67x = 2,002.23 × 360.87
  4. Step 4: Simplify right side
    1,334.67x = 722,544.74
  5. Step 5: Solve for x
    x = 722,544.74/1,334.67
  6. Step 6: Final answer
    x = 541.37

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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.