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Finding the Fourth Proportional to 573.90, 860.55 and 281.27

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Solution

The fourth proportional to 573.90, 860.55 and 281.27 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.90 : 860.55 = 281.27 : x
  2. Step 2: Convert to fraction form
    573.90/860.55 = 281.27/x
  3. Step 3: Cross multiply
    573.90x = 860.55 × 281.27
  4. Step 4: Simplify right side
    573.90x = 242,043.15
  5. Step 5: Solve for x
    x = 242,043.15/573.90
  6. Step 6: Final answer
    x = 421.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.