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Finding the Fourth Proportional to 573.71, 860.64 and 203.48

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Solution

The fourth proportional to 573.71, 860.64 and 203.48 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.71 : 860.64 = 203.48 : x
  2. Step 2: Convert to fraction form
    573.71/860.64 = 203.48/x
  3. Step 3: Cross multiply
    573.71x = 860.64 × 203.48
  4. Step 4: Simplify right side
    573.71x = 175,118.72
  5. Step 5: Solve for x
    x = 175,118.72/573.71
  6. Step 6: Final answer
    x = 305.24

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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.