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Finding the Fourth Proportional to 1,020.72, 1,408.02 and 600.99

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Solution

The fourth proportional to 1,020.72, 1,408.02 and 600.99 is: 829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.72 : 1,408.02 = 600.99 : x
  2. Step 2: Convert to fraction form
    1,020.72/1,408.02 = 600.99/x
  3. Step 3: Cross multiply
    1,020.72x = 1,408.02 × 600.99
  4. Step 4: Simplify right side
    1,020.72x = 846,205.94
  5. Step 5: Solve for x
    x = 846,205.94/1,020.72
  6. Step 6: Final answer
    x = 829.03

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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.