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Finding the Fourth Proportional to 1,204.77, 1,799.70 and 894.96

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Solution

The fourth proportional to 1,204.77, 1,799.70 and 894.96 is: 1,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.77 : 1,799.70 = 894.96 : x
  2. Step 2: Convert to fraction form
    1,204.77/1,799.70 = 894.96/x
  3. Step 3: Cross multiply
    1,204.77x = 1,799.70 × 894.96
  4. Step 4: Simplify right side
    1,204.77x = 1,610,659.51
  5. Step 5: Solve for x
    x = 1,610,659.51/1,204.77
  6. Step 6: Final answer
    x = 1,336.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.