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Finding the Fourth Proportional to 1,135.11, 1,703.86 and 1,005.94

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Solution

The fourth proportional to 1,135.11, 1,703.86 and 1,005.94 is: 1,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.11 : 1,703.86 = 1,005.94 : x
  2. Step 2: Convert to fraction form
    1,135.11/1,703.86 = 1,005.94/x
  3. Step 3: Cross multiply
    1,135.11x = 1,703.86 × 1,005.94
  4. Step 4: Simplify right side
    1,135.11x = 1,713,980.93
  5. Step 5: Solve for x
    x = 1,713,980.93/1,135.11
  6. Step 6: Final answer
    x = 1,509.97

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