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Finding the Fourth Proportional to 448.72, 677.42 and 446.28

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Solution

The fourth proportional to 448.72, 677.42 and 446.28 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.72 : 677.42 = 446.28 : x
  2. Step 2: Convert to fraction form
    448.72/677.42 = 446.28/x
  3. Step 3: Cross multiply
    448.72x = 677.42 × 446.28
  4. Step 4: Simplify right side
    448.72x = 302,319.00
  5. Step 5: Solve for x
    x = 302,319.00/448.72
  6. Step 6: Final answer
    x = 673.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.