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Finding the Fourth Proportional to 448.58, 668.44 and 400.13

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Solution

The fourth proportional to 448.58, 668.44 and 400.13 is: 596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.58 : 668.44 = 400.13 : x
  2. Step 2: Convert to fraction form
    448.58/668.44 = 400.13/x
  3. Step 3: Cross multiply
    448.58x = 668.44 × 400.13
  4. Step 4: Simplify right side
    448.58x = 267,462.90
  5. Step 5: Solve for x
    x = 267,462.90/448.58
  6. Step 6: Final answer
    x = 596.24

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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.