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Finding the Fourth Proportional to 1,021.39, 1,408.99 and 601.54

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Solution

The fourth proportional to 1,021.39, 1,408.99 and 601.54 is: 829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.39 : 1,408.99 = 601.54 : x
  2. Step 2: Convert to fraction form
    1,021.39/1,408.99 = 601.54/x
  3. Step 3: Cross multiply
    1,021.39x = 1,408.99 × 601.54
  4. Step 4: Simplify right side
    1,021.39x = 847,563.84
  5. Step 5: Solve for x
    x = 847,563.84/1,021.39
  6. Step 6: Final answer
    x = 829.81

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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.