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Finding the Fourth Proportional to 967.58, 1,441.86 and 909.15

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Solution

The fourth proportional to 967.58, 1,441.86 and 909.15 is: 1,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.58 : 1,441.86 = 909.15 : x
  2. Step 2: Convert to fraction form
    967.58/1,441.86 = 909.15/x
  3. Step 3: Cross multiply
    967.58x = 1,441.86 × 909.15
  4. Step 4: Simplify right side
    967.58x = 1,310,858.20
  5. Step 5: Solve for x
    x = 1,310,858.20/967.58
  6. Step 6: Final answer
    x = 1,354.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.