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Finding the Fourth Proportional to 1,450.32, 2,175.86 and 410.32

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Solution

The fourth proportional to 1,450.32, 2,175.86 and 410.32 is: 615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.32 : 2,175.86 = 410.32 : x
  2. Step 2: Convert to fraction form
    1,450.32/2,175.86 = 410.32/x
  3. Step 3: Cross multiply
    1,450.32x = 2,175.86 × 410.32
  4. Step 4: Simplify right side
    1,450.32x = 892,798.88
  5. Step 5: Solve for x
    x = 892,798.88/1,450.32
  6. Step 6: Final answer
    x = 615.59

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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.