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Finding the Fourth Proportional to 851.83, 1,176.01 and 573.55

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Solution

The fourth proportional to 851.83, 1,176.01 and 573.55 is: 791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.83 : 1,176.01 = 573.55 : x
  2. Step 2: Convert to fraction form
    851.83/1,176.01 = 573.55/x
  3. Step 3: Cross multiply
    851.83x = 1,176.01 × 573.55
  4. Step 4: Simplify right side
    851.83x = 674,496.16
  5. Step 5: Solve for x
    x = 674,496.16/851.83
  6. Step 6: Final answer
    x = 791.82

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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.