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Finding the Fourth Proportional to 1,231.61, 1,847.71 and 582.19

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Solution

The fourth proportional to 1,231.61, 1,847.71 and 582.19 is: 873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.61 : 1,847.71 = 582.19 : x
  2. Step 2: Convert to fraction form
    1,231.61/1,847.71 = 582.19/x
  3. Step 3: Cross multiply
    1,231.61x = 1,847.71 × 582.19
  4. Step 4: Simplify right side
    1,231.61x = 1,075,714.39
  5. Step 5: Solve for x
    x = 1,075,714.39/1,231.61
  6. Step 6: Final answer
    x = 873.42

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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.