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Finding the Fourth Proportional to 1,020.20, 1,408.21 and 600.53

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Solution

The fourth proportional to 1,020.20, 1,408.21 and 600.53 is: 828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.20 : 1,408.21 = 600.53 : x
  2. Step 2: Convert to fraction form
    1,020.20/1,408.21 = 600.53/x
  3. Step 3: Cross multiply
    1,020.20x = 1,408.21 × 600.53
  4. Step 4: Simplify right side
    1,020.20x = 845,672.35
  5. Step 5: Solve for x
    x = 845,672.35/1,020.20
  6. Step 6: Final answer
    x = 828.93

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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.