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Finding the Fourth Proportional to 662.02, 992.40 and 419.02

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Solution

The fourth proportional to 662.02, 992.40 and 419.02 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 992.40 = 419.02 : x
  2. Step 2: Convert to fraction form
    662.02/992.40 = 419.02/x
  3. Step 3: Cross multiply
    662.02x = 992.40 × 419.02
  4. Step 4: Simplify right side
    662.02x = 415,835.45
  5. Step 5: Solve for x
    x = 415,835.45/662.02
  6. Step 6: Final answer
    x = 628.13

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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.