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Finding the Fourth Proportional to 573.13, 789.85 and 448.59

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Solution

The fourth proportional to 573.13, 789.85 and 448.59 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.13 : 789.85 = 448.59 : x
  2. Step 2: Convert to fraction form
    573.13/789.85 = 448.59/x
  3. Step 3: Cross multiply
    573.13x = 789.85 × 448.59
  4. Step 4: Simplify right side
    573.13x = 354,318.81
  5. Step 5: Solve for x
    x = 354,318.81/573.13
  6. Step 6: Final answer
    x = 618.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.