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Finding the Fourth Proportional to 1,858.01, 2,785.32 and 870.44

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Solution

The fourth proportional to 1,858.01, 2,785.32 and 870.44 is: 1,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.01 : 2,785.32 = 870.44 : x
  2. Step 2: Convert to fraction form
    1,858.01/2,785.32 = 870.44/x
  3. Step 3: Cross multiply
    1,858.01x = 2,785.32 × 870.44
  4. Step 4: Simplify right side
    1,858.01x = 2,424,440.01
  5. Step 5: Solve for x
    x = 2,424,440.01/1,858.01
  6. Step 6: Final answer
    x = 1,304.86

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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.