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Finding the Fourth Proportional to 1,020.86, 1,408.85 and 578.79

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Solution

The fourth proportional to 1,020.86, 1,408.85 and 578.79 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.86 : 1,408.85 = 578.79 : x
  2. Step 2: Convert to fraction form
    1,020.86/1,408.85 = 578.79/x
  3. Step 3: Cross multiply
    1,020.86x = 1,408.85 × 578.79
  4. Step 4: Simplify right side
    1,020.86x = 815,425.40
  5. Step 5: Solve for x
    x = 815,425.40/1,020.86
  6. Step 6: Final answer
    x = 798.77

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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.