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Finding the Fourth Proportional to 472.58, 703.96 and 448.88

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Solution

The fourth proportional to 472.58, 703.96 and 448.88 is: 668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.58 : 703.96 = 448.88 : x
  2. Step 2: Convert to fraction form
    472.58/703.96 = 448.88/x
  3. Step 3: Cross multiply
    472.58x = 703.96 × 448.88
  4. Step 4: Simplify right side
    472.58x = 315,993.56
  5. Step 5: Solve for x
    x = 315,993.56/472.58
  6. Step 6: Final answer
    x = 668.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.