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Finding the Fourth Proportional to 1,020.90, 1,408.88 and 578.84

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Solution

The fourth proportional to 1,020.90, 1,408.88 and 578.84 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.90 : 1,408.88 = 578.84 : x
  2. Step 2: Convert to fraction form
    1,020.90/1,408.88 = 578.84/x
  3. Step 3: Cross multiply
    1,020.90x = 1,408.88 × 578.84
  4. Step 4: Simplify right side
    1,020.90x = 815,516.10
  5. Step 5: Solve for x
    x = 815,516.10/1,020.90
  6. Step 6: Final answer
    x = 798.82

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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.