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Finding the Fourth Proportional to 937.21, 1,406.01 and 449.99

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Solution

The fourth proportional to 937.21, 1,406.01 and 449.99 is: 675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.21 : 1,406.01 = 449.99 : x
  2. Step 2: Convert to fraction form
    937.21/1,406.01 = 449.99/x
  3. Step 3: Cross multiply
    937.21x = 1,406.01 × 449.99
  4. Step 4: Simplify right side
    937.21x = 632,690.44
  5. Step 5: Solve for x
    x = 632,690.44/937.21
  6. Step 6: Final answer
    x = 675.08

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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.