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Finding the Fourth Proportional to 1,021.86, 1,409.36 and 689.76

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Solution

The fourth proportional to 1,021.86, 1,409.36 and 689.76 is: 951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.86 : 1,409.36 = 689.76 : x
  2. Step 2: Convert to fraction form
    1,021.86/1,409.36 = 689.76/x
  3. Step 3: Cross multiply
    1,021.86x = 1,409.36 × 689.76
  4. Step 4: Simplify right side
    1,021.86x = 972,120.15
  5. Step 5: Solve for x
    x = 972,120.15/1,021.86
  6. Step 6: Final answer
    x = 951.32

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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.