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Finding the Fourth Proportional to 1,357.56, 2,033.12 and 862.19

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Solution

The fourth proportional to 1,357.56, 2,033.12 and 862.19 is: 1,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.56 : 2,033.12 = 862.19 : x
  2. Step 2: Convert to fraction form
    1,357.56/2,033.12 = 862.19/x
  3. Step 3: Cross multiply
    1,357.56x = 2,033.12 × 862.19
  4. Step 4: Simplify right side
    1,357.56x = 1,752,940.82
  5. Step 5: Solve for x
    x = 1,752,940.82/1,357.56
  6. Step 6: Final answer
    x = 1,291.25

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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.