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Finding the Fourth Proportional to 1,020.73, 1,408.74 and 578.63

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Solution

The fourth proportional to 1,020.73, 1,408.74 and 578.63 is: 798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.73 : 1,408.74 = 578.63 : x
  2. Step 2: Convert to fraction form
    1,020.73/1,408.74 = 578.63/x
  3. Step 3: Cross multiply
    1,020.73x = 1,408.74 × 578.63
  4. Step 4: Simplify right side
    1,020.73x = 815,139.23
  5. Step 5: Solve for x
    x = 815,139.23/1,020.73
  6. Step 6: Final answer
    x = 798.58

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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.