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Finding the Fourth Proportional to 1,049.62, 1,573.93 and 319.05

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Solution

The fourth proportional to 1,049.62, 1,573.93 and 319.05 is: 478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.62 : 1,573.93 = 319.05 : x
  2. Step 2: Convert to fraction form
    1,049.62/1,573.93 = 319.05/x
  3. Step 3: Cross multiply
    1,049.62x = 1,573.93 × 319.05
  4. Step 4: Simplify right side
    1,049.62x = 502,162.37
  5. Step 5: Solve for x
    x = 502,162.37/1,049.62
  6. Step 6: Final answer
    x = 478.42

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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.