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Finding the Fourth Proportional to 489.14, 732.82 and 420.02

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Solution

The fourth proportional to 489.14, 732.82 and 420.02 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.14 : 732.82 = 420.02 : x
  2. Step 2: Convert to fraction form
    489.14/732.82 = 420.02/x
  3. Step 3: Cross multiply
    489.14x = 732.82 × 420.02
  4. Step 4: Simplify right side
    489.14x = 307,799.06
  5. Step 5: Solve for x
    x = 307,799.06/489.14
  6. Step 6: Final answer
    x = 629.27

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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.