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Finding the Fourth Proportional to 722.55, 1,083.74 and 260.27

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Solution

The fourth proportional to 722.55, 1,083.74 and 260.27 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.55 : 1,083.74 = 260.27 : x
  2. Step 2: Convert to fraction form
    722.55/1,083.74 = 260.27/x
  3. Step 3: Cross multiply
    722.55x = 1,083.74 × 260.27
  4. Step 4: Simplify right side
    722.55x = 282,058.29
  5. Step 5: Solve for x
    x = 282,058.29/722.55
  6. Step 6: Final answer
    x = 390.37

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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.