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Finding the Fourth Proportional to 783.37, 1,081.46 and 573.31

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Solution

The fourth proportional to 783.37, 1,081.46 and 573.31 is: 791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.37 : 1,081.46 = 573.31 : x
  2. Step 2: Convert to fraction form
    783.37/1,081.46 = 573.31/x
  3. Step 3: Cross multiply
    783.37x = 1,081.46 × 573.31
  4. Step 4: Simplify right side
    783.37x = 620,011.83
  5. Step 5: Solve for x
    x = 620,011.83/783.37
  6. Step 6: Final answer
    x = 791.47

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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.