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Finding the Fourth Proportional to 573.33, 789.72 and 407.25

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Solution

The fourth proportional to 573.33, 789.72 and 407.25 is: 560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.33 : 789.72 = 407.25 : x
  2. Step 2: Convert to fraction form
    573.33/789.72 = 407.25/x
  3. Step 3: Cross multiply
    573.33x = 789.72 × 407.25
  4. Step 4: Simplify right side
    573.33x = 321,613.47
  5. Step 5: Solve for x
    x = 321,613.47/573.33
  6. Step 6: Final answer
    x = 560.96

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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.