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Finding the Fourth Proportional to 1,017.06, 1,409.96 and 961.62

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Solution

The fourth proportional to 1,017.06, 1,409.96 and 961.62 is: 1,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.06 : 1,409.96 = 961.62 : x
  2. Step 2: Convert to fraction form
    1,017.06/1,409.96 = 961.62/x
  3. Step 3: Cross multiply
    1,017.06x = 1,409.96 × 961.62
  4. Step 4: Simplify right side
    1,017.06x = 1,355,845.37
  5. Step 5: Solve for x
    x = 1,355,845.37/1,017.06
  6. Step 6: Final answer
    x = 1,333.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.