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Finding the Fourth Proportional to 1,021.42, 1,409.08 and 689.96

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Solution

The fourth proportional to 1,021.42, 1,409.08 and 689.96 is: 951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.42 : 1,409.08 = 689.96 : x
  2. Step 2: Convert to fraction form
    1,021.42/1,409.08 = 689.96/x
  3. Step 3: Cross multiply
    1,021.42x = 1,409.08 × 689.96
  4. Step 4: Simplify right side
    1,021.42x = 972,205.39
  5. Step 5: Solve for x
    x = 972,205.39/1,021.42
  6. Step 6: Final answer
    x = 951.82

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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.