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Finding the Fourth Proportional to 573.98, 786.92 and 563.60

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Solution

The fourth proportional to 573.98, 786.92 and 563.60 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 786.92 = 563.60 : x
  2. Step 2: Convert to fraction form
    573.98/786.92 = 563.60/x
  3. Step 3: Cross multiply
    573.98x = 786.92 × 563.60
  4. Step 4: Simplify right side
    573.98x = 443,508.11
  5. Step 5: Solve for x
    x = 443,508.11/573.98
  6. Step 6: Final answer
    x = 772.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.