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Finding the Fourth Proportional to 722.96, 1,083.67 and 312.29

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Solution

The fourth proportional to 722.96, 1,083.67 and 312.29 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 1,083.67 = 312.29 : x
  2. Step 2: Convert to fraction form
    722.96/1,083.67 = 312.29/x
  3. Step 3: Cross multiply
    722.96x = 1,083.67 × 312.29
  4. Step 4: Simplify right side
    722.96x = 338,421.23
  5. Step 5: Solve for x
    x = 338,421.23/722.96
  6. Step 6: Final answer
    x = 468.10

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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.