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Finding the Fourth Proportional to 2,365.89, 3,548.85 and 722.43

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Solution

The fourth proportional to 2,365.89, 3,548.85 and 722.43 is: 1,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.89 : 3,548.85 = 722.43 : x
  2. Step 2: Convert to fraction form
    2,365.89/3,548.85 = 722.43/x
  3. Step 3: Cross multiply
    2,365.89x = 3,548.85 × 722.43
  4. Step 4: Simplify right side
    2,365.89x = 2,563,795.71
  5. Step 5: Solve for x
    x = 2,563,795.71/2,365.89
  6. Step 6: Final answer
    x = 1,083.65

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1.5x scale

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.