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Finding the Fourth Proportional to 573.13, 857.62 and 492.94

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Solution

The fourth proportional to 573.13, 857.62 and 492.94 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.13 : 857.62 = 492.94 : x
  2. Step 2: Convert to fraction form
    573.13/857.62 = 492.94/x
  3. Step 3: Cross multiply
    573.13x = 857.62 × 492.94
  4. Step 4: Simplify right side
    573.13x = 422,755.20
  5. Step 5: Solve for x
    x = 422,755.20/573.13
  6. Step 6: Final answer
    x = 737.63

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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.