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Finding the Fourth Proportional to 573.03, 790.83 and 415.71

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Solution

The fourth proportional to 573.03, 790.83 and 415.71 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.03 : 790.83 = 415.71 : x
  2. Step 2: Convert to fraction form
    573.03/790.83 = 415.71/x
  3. Step 3: Cross multiply
    573.03x = 790.83 × 415.71
  4. Step 4: Simplify right side
    573.03x = 328,755.94
  5. Step 5: Solve for x
    x = 328,755.94/573.03
  6. Step 6: Final answer
    x = 573.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.