Home / 1,050.23-1,575.62-319.83

Finding the Fourth Proportional to 1,050.23, 1,575.62 and 319.83

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Solution

The fourth proportional to 1,050.23, 1,575.62 and 319.83 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.23 : 1,575.62 = 319.83 : x
  2. Step 2: Convert to fraction form
    1,050.23/1,575.62 = 319.83/x
  3. Step 3: Cross multiply
    1,050.23x = 1,575.62 × 319.83
  4. Step 4: Simplify right side
    1,050.23x = 503,930.54
  5. Step 5: Solve for x
    x = 503,930.54/1,050.23
  6. Step 6: Final answer
    x = 479.83

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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.