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Finding the Fourth Proportional to 941.06, 1,408.99 and 709.25

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Solution

The fourth proportional to 941.06, 1,408.99 and 709.25 is: 1,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.06 : 1,408.99 = 709.25 : x
  2. Step 2: Convert to fraction form
    941.06/1,408.99 = 709.25/x
  3. Step 3: Cross multiply
    941.06x = 1,408.99 × 709.25
  4. Step 4: Simplify right side
    941.06x = 999,329.58
  5. Step 5: Solve for x
    x = 999,329.58/941.06
  6. Step 6: Final answer
    x = 1,061.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.