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Finding the Fourth Proportional to 573.80, 860.38 and 419.72

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Solution

The fourth proportional to 573.80, 860.38 and 419.72 is: 629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.80 : 860.38 = 419.72 : x
  2. Step 2: Convert to fraction form
    573.80/860.38 = 419.72/x
  3. Step 3: Cross multiply
    573.80x = 860.38 × 419.72
  4. Step 4: Simplify right side
    573.80x = 361,118.69
  5. Step 5: Solve for x
    x = 361,118.69/573.80
  6. Step 6: Final answer
    x = 629.35

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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.