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Finding the Fourth Proportional to 1,021.16, 1,408.64 and 835.41

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Solution

The fourth proportional to 1,021.16, 1,408.64 and 835.41 is: 1,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.16 : 1,408.64 = 835.41 : x
  2. Step 2: Convert to fraction form
    1,021.16/1,408.64 = 835.41/x
  3. Step 3: Cross multiply
    1,021.16x = 1,408.64 × 835.41
  4. Step 4: Simplify right side
    1,021.16x = 1,176,797.75
  5. Step 5: Solve for x
    x = 1,176,797.75/1,021.16
  6. Step 6: Final answer
    x = 1,152.42

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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.