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Finding the Fourth Proportional to 722.31, 1,083.47 and 289.77

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Solution

The fourth proportional to 722.31, 1,083.47 and 289.77 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.31 : 1,083.47 = 289.77 : x
  2. Step 2: Convert to fraction form
    722.31/1,083.47 = 289.77/x
  3. Step 3: Cross multiply
    722.31x = 1,083.47 × 289.77
  4. Step 4: Simplify right side
    722.31x = 313,957.10
  5. Step 5: Solve for x
    x = 313,957.10/722.31
  6. Step 6: Final answer
    x = 434.66

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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.