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Finding the Fourth Proportional to 1,107.46, 1,654.91 and 828.01

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Solution

The fourth proportional to 1,107.46, 1,654.91 and 828.01 is: 1,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.46 : 1,654.91 = 828.01 : x
  2. Step 2: Convert to fraction form
    1,107.46/1,654.91 = 828.01/x
  3. Step 3: Cross multiply
    1,107.46x = 1,654.91 × 828.01
  4. Step 4: Simplify right side
    1,107.46x = 1,370,277.89
  5. Step 5: Solve for x
    x = 1,370,277.89/1,107.46
  6. Step 6: Final answer
    x = 1,237.32

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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.