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Finding the Fourth Proportional to 448.08, 666.72 and 440.68

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Solution

The fourth proportional to 448.08, 666.72 and 440.68 is: 655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 666.72 = 440.68 : x
  2. Step 2: Convert to fraction form
    448.08/666.72 = 440.68/x
  3. Step 3: Cross multiply
    448.08x = 666.72 × 440.68
  4. Step 4: Simplify right side
    448.08x = 293,810.17
  5. Step 5: Solve for x
    x = 293,810.17/448.08
  6. Step 6: Final answer
    x = 655.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.