Home / 1,408.42-2,111.87-434.26

Finding the Fourth Proportional to 1,408.42, 2,111.87 and 434.26

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Solution

The fourth proportional to 1,408.42, 2,111.87 and 434.26 is: 651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.42 : 2,111.87 = 434.26 : x
  2. Step 2: Convert to fraction form
    1,408.42/2,111.87 = 434.26/x
  3. Step 3: Cross multiply
    1,408.42x = 2,111.87 × 434.26
  4. Step 4: Simplify right side
    1,408.42x = 917,100.67
  5. Step 5: Solve for x
    x = 917,100.67/1,408.42
  6. Step 6: Final answer
    x = 651.16

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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.