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Finding the Fourth Proportional to 573.40, 855.89 and 500.44

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Solution

The fourth proportional to 573.40, 855.89 and 500.44 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.40 : 855.89 = 500.44 : x
  2. Step 2: Convert to fraction form
    573.40/855.89 = 500.44/x
  3. Step 3: Cross multiply
    573.40x = 855.89 × 500.44
  4. Step 4: Simplify right side
    573.40x = 428,321.59
  5. Step 5: Solve for x
    x = 428,321.59/573.40
  6. Step 6: Final answer
    x = 746.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.