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Finding the Fourth Proportional to 1,049.96, 1,574.84 and 319.54

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Solution

The fourth proportional to 1,049.96, 1,574.84 and 319.54 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.96 : 1,574.84 = 319.54 : x
  2. Step 2: Convert to fraction form
    1,049.96/1,574.84 = 319.54/x
  3. Step 3: Cross multiply
    1,049.96x = 1,574.84 × 319.54
  4. Step 4: Simplify right side
    1,049.96x = 503,224.37
  5. Step 5: Solve for x
    x = 503,224.37/1,049.96
  6. Step 6: Final answer
    x = 479.28

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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.