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Finding the Fourth Proportional to 447.84, 672.48 and 374.40

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Solution

The fourth proportional to 447.84, 672.48 and 374.40 is: 562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 672.48 = 374.40 : x
  2. Step 2: Convert to fraction form
    447.84/672.48 = 374.40/x
  3. Step 3: Cross multiply
    447.84x = 672.48 × 374.40
  4. Step 4: Simplify right side
    447.84x = 251,776.51
  5. Step 5: Solve for x
    x = 251,776.51/447.84
  6. Step 6: Final answer
    x = 562.20

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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.