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Finding the Fourth Proportional to 1,020.81, 1,408.74 and 578.71

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Solution

The fourth proportional to 1,020.81, 1,408.74 and 578.71 is: 798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.81 : 1,408.74 = 578.71 : x
  2. Step 2: Convert to fraction form
    1,020.81/1,408.74 = 578.71/x
  3. Step 3: Cross multiply
    1,020.81x = 1,408.74 × 578.71
  4. Step 4: Simplify right side
    1,020.81x = 815,251.93
  5. Step 5: Solve for x
    x = 815,251.93/1,020.81
  6. Step 6: Final answer
    x = 798.63

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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.