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Finding the Fourth Proportional to 1,020.90, 1,408.54 and 705.80

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Solution

The fourth proportional to 1,020.90, 1,408.54 and 705.80 is: 973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.90 : 1,408.54 = 705.80 : x
  2. Step 2: Convert to fraction form
    1,020.90/1,408.54 = 705.80/x
  3. Step 3: Cross multiply
    1,020.90x = 1,408.54 × 705.80
  4. Step 4: Simplify right side
    1,020.90x = 994,136.96
  5. Step 5: Solve for x
    x = 994,136.96/1,020.90
  6. Step 6: Final answer
    x = 973.78

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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.