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Finding the Fourth Proportional to 967.05, 1,449.36 and 479.97

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Solution

The fourth proportional to 967.05, 1,449.36 and 479.97 is: 719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.05 : 1,449.36 = 479.97 : x
  2. Step 2: Convert to fraction form
    967.05/1,449.36 = 479.97/x
  3. Step 3: Cross multiply
    967.05x = 1,449.36 × 479.97
  4. Step 4: Simplify right side
    967.05x = 695,649.32
  5. Step 5: Solve for x
    x = 695,649.32/967.05
  6. Step 6: Final answer
    x = 719.35

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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.