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Finding the Fourth Proportional to 1,101.01, 1,659.82 and 1,030.54

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Solution

The fourth proportional to 1,101.01, 1,659.82 and 1,030.54 is: 1,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.01 : 1,659.82 = 1,030.54 : x
  2. Step 2: Convert to fraction form
    1,101.01/1,659.82 = 1,030.54/x
  3. Step 3: Cross multiply
    1,101.01x = 1,659.82 × 1,030.54
  4. Step 4: Simplify right side
    1,101.01x = 1,710,497.45
  5. Step 5: Solve for x
    x = 1,710,497.45/1,101.01
  6. Step 6: Final answer
    x = 1,553.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.