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Finding the Fourth Proportional to 448.92, 672.78 and 435.78

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Solution

The fourth proportional to 448.92, 672.78 and 435.78 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 672.78 = 435.78 : x
  2. Step 2: Convert to fraction form
    448.92/672.78 = 435.78/x
  3. Step 3: Cross multiply
    448.92x = 672.78 × 435.78
  4. Step 4: Simplify right side
    448.92x = 293,184.07
  5. Step 5: Solve for x
    x = 293,184.07/448.92
  6. Step 6: Final answer
    x = 653.09

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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.