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Finding the Fourth Proportional to 1,436.58, 2,155.94 and 559.22

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Solution

The fourth proportional to 1,436.58, 2,155.94 and 559.22 is: 839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.58 : 2,155.94 = 559.22 : x
  2. Step 2: Convert to fraction form
    1,436.58/2,155.94 = 559.22/x
  3. Step 3: Cross multiply
    1,436.58x = 2,155.94 × 559.22
  4. Step 4: Simplify right side
    1,436.58x = 1,205,644.77
  5. Step 5: Solve for x
    x = 1,205,644.77/1,436.58
  6. Step 6: Final answer
    x = 839.25

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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.