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Finding the Fourth Proportional to 1,103.13, 1,652.97 and 828.93

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Solution

The fourth proportional to 1,103.13, 1,652.97 and 828.93 is: 1,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.13 : 1,652.97 = 828.93 : x
  2. Step 2: Convert to fraction form
    1,103.13/1,652.97 = 828.93/x
  3. Step 3: Cross multiply
    1,103.13x = 1,652.97 × 828.93
  4. Step 4: Simplify right side
    1,103.13x = 1,370,196.42
  5. Step 5: Solve for x
    x = 1,370,196.42/1,103.13
  6. Step 6: Final answer
    x = 1,242.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.