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Finding the Fourth Proportional to 1,102.77, 1,654.56 and 1,053.36

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Solution

The fourth proportional to 1,102.77, 1,654.56 and 1,053.36 is: 1,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.77 : 1,654.56 = 1,053.36 : x
  2. Step 2: Convert to fraction form
    1,102.77/1,654.56 = 1,053.36/x
  3. Step 3: Cross multiply
    1,102.77x = 1,654.56 × 1,053.36
  4. Step 4: Simplify right side
    1,102.77x = 1,742,847.32
  5. Step 5: Solve for x
    x = 1,742,847.32/1,102.77
  6. Step 6: Final answer
    x = 1,580.43

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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.