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Finding the Fourth Proportional to 967.70, 1,450.52 and 420.14

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Solution

The fourth proportional to 967.70, 1,450.52 and 420.14 is: 629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.70 : 1,450.52 = 420.14 : x
  2. Step 2: Convert to fraction form
    967.70/1,450.52 = 420.14/x
  3. Step 3: Cross multiply
    967.70x = 1,450.52 × 420.14
  4. Step 4: Simplify right side
    967.70x = 609,421.47
  5. Step 5: Solve for x
    x = 609,421.47/967.70
  6. Step 6: Final answer
    x = 629.76

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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.