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Finding the Fourth Proportional to 1,063.22, 1,467.25 and 670.42

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Solution

The fourth proportional to 1,063.22, 1,467.25 and 670.42 is: 925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.22 : 1,467.25 = 670.42 : x
  2. Step 2: Convert to fraction form
    1,063.22/1,467.25 = 670.42/x
  3. Step 3: Cross multiply
    1,063.22x = 1,467.25 × 670.42
  4. Step 4: Simplify right side
    1,063.22x = 983,673.75
  5. Step 5: Solve for x
    x = 983,673.75/1,063.22
  6. Step 6: Final answer
    x = 925.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.