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Finding the Fourth Proportional to 897.64, 1,238.24 and 828.92

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Solution

The fourth proportional to 897.64, 1,238.24 and 828.92 is: 1,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.64 : 1,238.24 = 828.92 : x
  2. Step 2: Convert to fraction form
    897.64/1,238.24 = 828.92/x
  3. Step 3: Cross multiply
    897.64x = 1,238.24 × 828.92
  4. Step 4: Simplify right side
    897.64x = 1,026,401.90
  5. Step 5: Solve for x
    x = 1,026,401.90/897.64
  6. Step 6: Final answer
    x = 1,143.44

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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.