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Finding the Fourth Proportional to 1,018.64, 1,402.26 and 894.08

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Solution

The fourth proportional to 1,018.64, 1,402.26 and 894.08 is: 1,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.64 : 1,402.26 = 894.08 : x
  2. Step 2: Convert to fraction form
    1,018.64/1,402.26 = 894.08/x
  3. Step 3: Cross multiply
    1,018.64x = 1,402.26 × 894.08
  4. Step 4: Simplify right side
    1,018.64x = 1,253,732.62
  5. Step 5: Solve for x
    x = 1,253,732.62/1,018.64
  6. Step 6: Final answer
    x = 1,230.79

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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.