Home / 1,436.32-2,154.34-463.12

Finding the Fourth Proportional to 1,436.32, 2,154.34 and 463.12

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Solution

The fourth proportional to 1,436.32, 2,154.34 and 463.12 is: 694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.32 : 2,154.34 = 463.12 : x
  2. Step 2: Convert to fraction form
    1,436.32/2,154.34 = 463.12/x
  3. Step 3: Cross multiply
    1,436.32x = 2,154.34 × 463.12
  4. Step 4: Simplify right side
    1,436.32x = 997,717.94
  5. Step 5: Solve for x
    x = 997,717.94/1,436.32
  6. Step 6: Final answer
    x = 694.63

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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.