Home / 1,423.24-2,135.18-436.14

Finding the Fourth Proportional to 1,423.24, 2,135.18 and 436.14

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Solution

The fourth proportional to 1,423.24, 2,135.18 and 436.14 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.24 : 2,135.18 = 436.14 : x
  2. Step 2: Convert to fraction form
    1,423.24/2,135.18 = 436.14/x
  3. Step 3: Cross multiply
    1,423.24x = 2,135.18 × 436.14
  4. Step 4: Simplify right side
    1,423.24x = 931,237.41
  5. Step 5: Solve for x
    x = 931,237.41/1,423.24
  6. Step 6: Final answer
    x = 654.31

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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.