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Finding the Fourth Proportional to 1,101.14, 1,519.41 and 658.98

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Solution

The fourth proportional to 1,101.14, 1,519.41 and 658.98 is: 909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.14 : 1,519.41 = 658.98 : x
  2. Step 2: Convert to fraction form
    1,101.14/1,519.41 = 658.98/x
  3. Step 3: Cross multiply
    1,101.14x = 1,519.41 × 658.98
  4. Step 4: Simplify right side
    1,101.14x = 1,001,257.58
  5. Step 5: Solve for x
    x = 1,001,257.58/1,101.14
  6. Step 6: Final answer
    x = 909.30

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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.