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Finding the Fourth Proportional to 949, 1,424.04 and 401.54

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Solution

The fourth proportional to 949, 1,424.04 and 401.54 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    949 : 1,424.04 = 401.54 : x
  2. Step 2: Convert to fraction form
    949/1,424.04 = 401.54/x
  3. Step 3: Cross multiply
    949x = 1,424.04 × 401.54
  4. Step 4: Simplify right side
    949x = 571,809.02
  5. Step 5: Solve for x
    x = 571,809.02/949
  6. Step 6: Final answer
    x = 602.54

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Similar ratio
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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.