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Finding the Fourth Proportional to 448.20, 670.64 and 394.72

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Solution

The fourth proportional to 448.20, 670.64 and 394.72 is: 590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.20 : 670.64 = 394.72 : x
  2. Step 2: Convert to fraction form
    448.20/670.64 = 394.72/x
  3. Step 3: Cross multiply
    448.20x = 670.64 × 394.72
  4. Step 4: Simplify right side
    448.20x = 264,715.02
  5. Step 5: Solve for x
    x = 264,715.02/448.20
  6. Step 6: Final answer
    x = 590.62

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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.