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Finding the Fourth Proportional to 1,353.31, 2,029.69 and 428.93

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Solution

The fourth proportional to 1,353.31, 2,029.69 and 428.93 is: 643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.31 : 2,029.69 = 428.93 : x
  2. Step 2: Convert to fraction form
    1,353.31/2,029.69 = 428.93/x
  3. Step 3: Cross multiply
    1,353.31x = 2,029.69 × 428.93
  4. Step 4: Simplify right side
    1,353.31x = 870,592.93
  5. Step 5: Solve for x
    x = 870,592.93/1,353.31
  6. Step 6: Final answer
    x = 643.31

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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.