Home / 1,408.19-2,112.08-434.16

Finding the Fourth Proportional to 1,408.19, 2,112.08 and 434.16

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Solution

The fourth proportional to 1,408.19, 2,112.08 and 434.16 is: 651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.19 : 2,112.08 = 434.16 : x
  2. Step 2: Convert to fraction form
    1,408.19/2,112.08 = 434.16/x
  3. Step 3: Cross multiply
    1,408.19x = 2,112.08 × 434.16
  4. Step 4: Simplify right side
    1,408.19x = 916,978.48
  5. Step 5: Solve for x
    x = 916,978.48/1,408.19
  6. Step 6: Final answer
    x = 651.18

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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.