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Finding the Fourth Proportional to 1,020.31, 1,408.06 and 578.20

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Solution

The fourth proportional to 1,020.31, 1,408.06 and 578.20 is: 797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.31 : 1,408.06 = 578.20 : x
  2. Step 2: Convert to fraction form
    1,020.31/1,408.06 = 578.20/x
  3. Step 3: Cross multiply
    1,020.31x = 1,408.06 × 578.20
  4. Step 4: Simplify right side
    1,020.31x = 814,133.57
  5. Step 5: Solve for x
    x = 814,133.57/1,020.31
  6. Step 6: Final answer
    x = 797.93

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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.