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Finding the Fourth Proportional to 1,419.15, 1,957.85 and 894.88

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Solution

The fourth proportional to 1,419.15, 1,957.85 and 894.88 is: 1,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.15 : 1,957.85 = 894.88 : x
  2. Step 2: Convert to fraction form
    1,419.15/1,957.85 = 894.88/x
  3. Step 3: Cross multiply
    1,419.15x = 1,957.85 × 894.88
  4. Step 4: Simplify right side
    1,419.15x = 1,752,031.02
  5. Step 5: Solve for x
    x = 1,752,031.02/1,419.15
  6. Step 6: Final answer
    x = 1,234.56

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