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Finding the Fourth Proportional to 2,365.89, 3,549.36 and 722.46

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Solution

The fourth proportional to 2,365.89, 3,549.36 and 722.46 is: 1,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.89 : 3,549.36 = 722.46 : x
  2. Step 2: Convert to fraction form
    2,365.89/3,549.36 = 722.46/x
  3. Step 3: Cross multiply
    2,365.89x = 3,549.36 × 722.46
  4. Step 4: Simplify right side
    2,365.89x = 2,564,270.63
  5. Step 5: Solve for x
    x = 2,564,270.63/2,365.89
  6. Step 6: Final answer
    x = 1,083.85

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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.