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Finding the Fourth Proportional to 853.02, 1,176.74 and 573.27

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Solution

The fourth proportional to 853.02, 1,176.74 and 573.27 is: 790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.02 : 1,176.74 = 573.27 : x
  2. Step 2: Convert to fraction form
    853.02/1,176.74 = 573.27/x
  3. Step 3: Cross multiply
    853.02x = 1,176.74 × 573.27
  4. Step 4: Simplify right side
    853.02x = 674,589.74
  5. Step 5: Solve for x
    x = 674,589.74/853.02
  6. Step 6: Final answer
    x = 790.83

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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.