Home / 1,353.16-2,029.79-428.69

Finding the Fourth Proportional to 1,353.16, 2,029.79 and 428.69

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Solution

The fourth proportional to 1,353.16, 2,029.79 and 428.69 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.16 : 2,029.79 = 428.69 : x
  2. Step 2: Convert to fraction form
    1,353.16/2,029.79 = 428.69/x
  3. Step 3: Cross multiply
    1,353.16x = 2,029.79 × 428.69
  4. Step 4: Simplify right side
    1,353.16x = 870,156.02
  5. Step 5: Solve for x
    x = 870,156.02/1,353.16
  6. Step 6: Final answer
    x = 643.06

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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.