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Finding the Fourth Proportional to 589.50, 811.11 and 540.90

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Solution

The fourth proportional to 589.50, 811.11 and 540.90 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.50 : 811.11 = 540.90 : x
  2. Step 2: Convert to fraction form
    589.50/811.11 = 540.90/x
  3. Step 3: Cross multiply
    589.50x = 811.11 × 540.90
  4. Step 4: Simplify right side
    589.50x = 438,729.40
  5. Step 5: Solve for x
    x = 438,729.40/589.50
  6. Step 6: Final answer
    x = 744.24

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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.