Home / 1,408.55-2,113.25-434.75

Finding the Fourth Proportional to 1,408.55, 2,113.25 and 434.75

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Solution

The fourth proportional to 1,408.55, 2,113.25 and 434.75 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.55 : 2,113.25 = 434.75 : x
  2. Step 2: Convert to fraction form
    1,408.55/2,113.25 = 434.75/x
  3. Step 3: Cross multiply
    1,408.55x = 2,113.25 × 434.75
  4. Step 4: Simplify right side
    1,408.55x = 918,722.70
  5. Step 5: Solve for x
    x = 918,722.70/1,408.55
  6. Step 6: Final answer
    x = 652.25

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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.