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Finding the Fourth Proportional to 573.77, 860.47 and 203.49

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Solution

The fourth proportional to 573.77, 860.47 and 203.49 is: 305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.77 : 860.47 = 203.49 : x
  2. Step 2: Convert to fraction form
    573.77/860.47 = 203.49/x
  3. Step 3: Cross multiply
    573.77x = 860.47 × 203.49
  4. Step 4: Simplify right side
    573.77x = 175,096.53
  5. Step 5: Solve for x
    x = 175,096.53/573.77
  6. Step 6: Final answer
    x = 305.17

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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.