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Finding the Fourth Proportional to 722.86, 1,082.70 and 448.13

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Solution

The fourth proportional to 722.86, 1,082.70 and 448.13 is: 671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.86 : 1,082.70 = 448.13 : x
  2. Step 2: Convert to fraction form
    722.86/1,082.70 = 448.13/x
  3. Step 3: Cross multiply
    722.86x = 1,082.70 × 448.13
  4. Step 4: Simplify right side
    722.86x = 485,193.06
  5. Step 5: Solve for x
    x = 485,193.06/722.86
  6. Step 6: Final answer
    x = 671.22

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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.