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Finding the Fourth Proportional to 1,353.93, 2,029.68 and 475.85

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Solution

The fourth proportional to 1,353.93, 2,029.68 and 475.85 is: 713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.93 : 2,029.68 = 475.85 : x
  2. Step 2: Convert to fraction form
    1,353.93/2,029.68 = 475.85/x
  3. Step 3: Cross multiply
    1,353.93x = 2,029.68 × 475.85
  4. Step 4: Simplify right side
    1,353.93x = 965,823.23
  5. Step 5: Solve for x
    x = 965,823.23/1,353.93
  6. Step 6: Final answer
    x = 713.35

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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.