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Finding the Fourth Proportional to 474.02, 713.09 and 449.40

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Solution

The fourth proportional to 474.02, 713.09 and 449.40 is: 676.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.02 : 713.09 = 449.40 : x
  2. Step 2: Convert to fraction form
    474.02/713.09 = 449.40/x
  3. Step 3: Cross multiply
    474.02x = 713.09 × 449.40
  4. Step 4: Simplify right side
    474.02x = 320,462.65
  5. Step 5: Solve for x
    x = 320,462.65/474.02
  6. Step 6: Final answer
    x = 676.05

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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.