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Finding the Fourth Proportional to 1,898.25, 2,847.78 and 582.01

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Solution

The fourth proportional to 1,898.25, 2,847.78 and 582.01 is: 873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.25 : 2,847.78 = 582.01 : x
  2. Step 2: Convert to fraction form
    1,898.25/2,847.78 = 582.01/x
  3. Step 3: Cross multiply
    1,898.25x = 2,847.78 × 582.01
  4. Step 4: Simplify right side
    1,898.25x = 1,657,422.20
  5. Step 5: Solve for x
    x = 1,657,422.20/1,898.25
  6. Step 6: Final answer
    x = 873.13

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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.