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Finding the Fourth Proportional to 1,557.49, 2,149.46 and 894.37

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Solution

The fourth proportional to 1,557.49, 2,149.46 and 894.37 is: 1,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.49 : 2,149.46 = 894.37 : x
  2. Step 2: Convert to fraction form
    1,557.49/2,149.46 = 894.37/x
  3. Step 3: Cross multiply
    1,557.49x = 2,149.46 × 894.37
  4. Step 4: Simplify right side
    1,557.49x = 1,922,412.54
  5. Step 5: Solve for x
    x = 1,922,412.54/1,557.49
  6. Step 6: Final answer
    x = 1,234.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.