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Finding the Fourth Proportional to 448.44, 668.64 and 407.40

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Solution

The fourth proportional to 448.44, 668.64 and 407.40 is: 607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.44 : 668.64 = 407.40 : x
  2. Step 2: Convert to fraction form
    448.44/668.64 = 407.40/x
  3. Step 3: Cross multiply
    448.44x = 668.64 × 407.40
  4. Step 4: Simplify right side
    448.44x = 272,403.94
  5. Step 5: Solve for x
    x = 272,403.94/448.44
  6. Step 6: Final answer
    x = 607.45

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Why These Related Problems?

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