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Finding the Fourth Proportional to 1,408.21, 1,943.37 and 810.79

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Solution

The fourth proportional to 1,408.21, 1,943.37 and 810.79 is: 1,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.21 : 1,943.37 = 810.79 : x
  2. Step 2: Convert to fraction form
    1,408.21/1,943.37 = 810.79/x
  3. Step 3: Cross multiply
    1,408.21x = 1,943.37 × 810.79
  4. Step 4: Simplify right side
    1,408.21x = 1,575,660.10
  5. Step 5: Solve for x
    x = 1,575,660.10/1,408.21
  6. Step 6: Final answer
    x = 1,118.91

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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.