Home / 1,423.42-2,135.12-436.23

Finding the Fourth Proportional to 1,423.42, 2,135.12 and 436.23

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Solution

The fourth proportional to 1,423.42, 2,135.12 and 436.23 is: 654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.42 : 2,135.12 = 436.23 : x
  2. Step 2: Convert to fraction form
    1,423.42/2,135.12 = 436.23/x
  3. Step 3: Cross multiply
    1,423.42x = 2,135.12 × 436.23
  4. Step 4: Simplify right side
    1,423.42x = 931,401.22
  5. Step 5: Solve for x
    x = 931,401.22/1,423.42
  6. Step 6: Final answer
    x = 654.34

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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.