Home / 1,050.32-1,575.25-309.72

Finding the Fourth Proportional to 1,050.32, 1,575.25 and 309.72

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Solution

The fourth proportional to 1,050.32, 1,575.25 and 309.72 is: 464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.32 : 1,575.25 = 309.72 : x
  2. Step 2: Convert to fraction form
    1,050.32/1,575.25 = 309.72/x
  3. Step 3: Cross multiply
    1,050.32x = 1,575.25 × 309.72
  4. Step 4: Simplify right side
    1,050.32x = 487,891.56
  5. Step 5: Solve for x
    x = 487,891.56/1,050.32
  6. Step 6: Final answer
    x = 464.52

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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.