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Finding the Fourth Proportional to 1,021.26, 1,409.76 and 758.82

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Solution

The fourth proportional to 1,021.26, 1,409.76 and 758.82 is: 1,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.26 : 1,409.76 = 758.82 : x
  2. Step 2: Convert to fraction form
    1,021.26/1,409.76 = 758.82/x
  3. Step 3: Cross multiply
    1,021.26x = 1,409.76 × 758.82
  4. Step 4: Simplify right side
    1,021.26x = 1,069,754.08
  5. Step 5: Solve for x
    x = 1,069,754.08/1,021.26
  6. Step 6: Final answer
    x = 1,047.48

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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.