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Finding the Fourth Proportional to 1,893.79, 2,840.72 and 577.57

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Solution

The fourth proportional to 1,893.79, 2,840.72 and 577.57 is: 866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.79 : 2,840.72 = 577.57 : x
  2. Step 2: Convert to fraction form
    1,893.79/2,840.72 = 577.57/x
  3. Step 3: Cross multiply
    1,893.79x = 2,840.72 × 577.57
  4. Step 4: Simplify right side
    1,893.79x = 1,640,714.65
  5. Step 5: Solve for x
    x = 1,640,714.65/1,893.79
  6. Step 6: Final answer
    x = 866.37

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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.