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Finding the Fourth Proportional to 1,020.60, 1,408.56 and 578.51

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Solution

The fourth proportional to 1,020.60, 1,408.56 and 578.51 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.60 : 1,408.56 = 578.51 : x
  2. Step 2: Convert to fraction form
    1,020.60/1,408.56 = 578.51/x
  3. Step 3: Cross multiply
    1,020.60x = 1,408.56 × 578.51
  4. Step 4: Simplify right side
    1,020.60x = 814,859.00
  5. Step 5: Solve for x
    x = 814,859.00/1,020.60
  6. Step 6: Final answer
    x = 798.41

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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.