Home / 1,436.38-2,154.78-462.16

Finding the Fourth Proportional to 1,436.38, 2,154.78 and 462.16

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Solution

The fourth proportional to 1,436.38, 2,154.78 and 462.16 is: 693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.38 : 2,154.78 = 462.16 : x
  2. Step 2: Convert to fraction form
    1,436.38/2,154.78 = 462.16/x
  3. Step 3: Cross multiply
    1,436.38x = 2,154.78 × 462.16
  4. Step 4: Simplify right side
    1,436.38x = 995,853.12
  5. Step 5: Solve for x
    x = 995,853.12/1,436.38
  6. Step 6: Final answer
    x = 693.31

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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.