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Finding the Fourth Proportional to 1,021.92, 1,408.80 and 800.64

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Solution

The fourth proportional to 1,021.92, 1,408.80 and 800.64 is: 1,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,408.80 = 800.64 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,408.80 = 800.64/x
  3. Step 3: Cross multiply
    1,021.92x = 1,408.80 × 800.64
  4. Step 4: Simplify right side
    1,021.92x = 1,127,941.63
  5. Step 5: Solve for x
    x = 1,127,941.63/1,021.92
  6. Step 6: Final answer
    x = 1,103.75

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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.