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Finding the Fourth Proportional to 1,730.82, 2,596.23 and 561.80

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Solution

The fourth proportional to 1,730.82, 2,596.23 and 561.80 is: 842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.82 : 2,596.23 = 561.80 : x
  2. Step 2: Convert to fraction form
    1,730.82/2,596.23 = 561.80/x
  3. Step 3: Cross multiply
    1,730.82x = 2,596.23 × 561.80
  4. Step 4: Simplify right side
    1,730.82x = 1,458,562.01
  5. Step 5: Solve for x
    x = 1,458,562.01/1,730.82
  6. Step 6: Final answer
    x = 842.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.