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Finding the Fourth Proportional to 1,020.38, 1,408.08 and 578.31

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Solution

The fourth proportional to 1,020.38, 1,408.08 and 578.31 is: 798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.38 : 1,408.08 = 578.31 : x
  2. Step 2: Convert to fraction form
    1,020.38/1,408.08 = 578.31/x
  3. Step 3: Cross multiply
    1,020.38x = 1,408.08 × 578.31
  4. Step 4: Simplify right side
    1,020.38x = 814,299.70
  5. Step 5: Solve for x
    x = 814,299.70/1,020.38
  6. Step 6: Final answer
    x = 798.04

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1.5x scale

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.