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Finding the Fourth Proportional to 1,050.09, 1,575.38 and 319.73

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Solution

The fourth proportional to 1,050.09, 1,575.38 and 319.73 is: 479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.09 : 1,575.38 = 319.73 : x
  2. Step 2: Convert to fraction form
    1,050.09/1,575.38 = 319.73/x
  3. Step 3: Cross multiply
    1,050.09x = 1,575.38 × 319.73
  4. Step 4: Simplify right side
    1,050.09x = 503,691.11
  5. Step 5: Solve for x
    x = 503,691.11/1,050.09
  6. Step 6: Final answer
    x = 479.66

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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.