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Finding the Fourth Proportional to 1,050.38, 1,575.53 and 319.85

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Solution

The fourth proportional to 1,050.38, 1,575.53 and 319.85 is: 479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.38 : 1,575.53 = 319.85 : x
  2. Step 2: Convert to fraction form
    1,050.38/1,575.53 = 319.85/x
  3. Step 3: Cross multiply
    1,050.38x = 1,575.53 × 319.85
  4. Step 4: Simplify right side
    1,050.38x = 503,926.19
  5. Step 5: Solve for x
    x = 503,926.19/1,050.38
  6. Step 6: Final answer
    x = 479.76

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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.