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Finding the Fourth Proportional to 448.14, 670.74 and 432.09

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Solution

The fourth proportional to 448.14, 670.74 and 432.09 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 670.74 = 432.09 : x
  2. Step 2: Convert to fraction form
    448.14/670.74 = 432.09/x
  3. Step 3: Cross multiply
    448.14x = 670.74 × 432.09
  4. Step 4: Simplify right side
    448.14x = 289,820.05
  5. Step 5: Solve for x
    x = 289,820.05/448.14
  6. Step 6: Final answer
    x = 646.72

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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.