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Finding the Fourth Proportional to 992.84, 1,489.26 and 416.36

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Solution

The fourth proportional to 992.84, 1,489.26 and 416.36 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.84 : 1,489.26 = 416.36 : x
  2. Step 2: Convert to fraction form
    992.84/1,489.26 = 416.36/x
  3. Step 3: Cross multiply
    992.84x = 1,489.26 × 416.36
  4. Step 4: Simplify right side
    992.84x = 620,068.29
  5. Step 5: Solve for x
    x = 620,068.29/992.84
  6. Step 6: Final answer
    x = 624.54

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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.