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Finding the Fourth Proportional to 722.17, 1,082.19 and 539.46

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Solution

The fourth proportional to 722.17, 1,082.19 and 539.46 is: 808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.17 : 1,082.19 = 539.46 : x
  2. Step 2: Convert to fraction form
    722.17/1,082.19 = 539.46/x
  3. Step 3: Cross multiply
    722.17x = 1,082.19 × 539.46
  4. Step 4: Simplify right side
    722.17x = 583,795.69
  5. Step 5: Solve for x
    x = 583,795.69/722.17
  6. Step 6: Final answer
    x = 808.40

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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.