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Finding the Fourth Proportional to 448.10, 672.98 and 428.98

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Solution

The fourth proportional to 448.10, 672.98 and 428.98 is: 644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.10 : 672.98 = 428.98 : x
  2. Step 2: Convert to fraction form
    448.10/672.98 = 428.98/x
  3. Step 3: Cross multiply
    448.10x = 672.98 × 428.98
  4. Step 4: Simplify right side
    448.10x = 288,694.96
  5. Step 5: Solve for x
    x = 288,694.96/448.10
  6. Step 6: Final answer
    x = 644.26

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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.