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Finding the Fourth Proportional to 589, 810.42 and 540.40

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Solution

The fourth proportional to 589, 810.42 and 540.40 is: 743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 810.42 = 540.40 : x
  2. Step 2: Convert to fraction form
    589/810.42 = 540.40/x
  3. Step 3: Cross multiply
    589x = 810.42 × 540.40
  4. Step 4: Simplify right side
    589x = 437,950.97
  5. Step 5: Solve for x
    x = 437,950.97/589
  6. Step 6: Final answer
    x = 743.55

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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.