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Finding the Fourth Proportional to 967.30, 1,451.40 and 505.60

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Solution

The fourth proportional to 967.30, 1,451.40 and 505.60 is: 758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.30 : 1,451.40 = 505.60 : x
  2. Step 2: Convert to fraction form
    967.30/1,451.40 = 505.60/x
  3. Step 3: Cross multiply
    967.30x = 1,451.40 × 505.60
  4. Step 4: Simplify right side
    967.30x = 733,827.84
  5. Step 5: Solve for x
    x = 733,827.84/967.30
  6. Step 6: Final answer
    x = 758.64

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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.