Home / 1,410.42-2,115.26-435.98

Finding the Fourth Proportional to 1,410.42, 2,115.26 and 435.98

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Solution

The fourth proportional to 1,410.42, 2,115.26 and 435.98 is: 653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.42 : 2,115.26 = 435.98 : x
  2. Step 2: Convert to fraction form
    1,410.42/2,115.26 = 435.98/x
  3. Step 3: Cross multiply
    1,410.42x = 2,115.26 × 435.98
  4. Step 4: Simplify right side
    1,410.42x = 922,211.05
  5. Step 5: Solve for x
    x = 922,211.05/1,410.42
  6. Step 6: Final answer
    x = 653.86

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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.