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Finding the Fourth Proportional to 1,021.88, 1,532.25 and 605.58

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Solution

The fourth proportional to 1,021.88, 1,532.25 and 605.58 is: 908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.88 : 1,532.25 = 605.58 : x
  2. Step 2: Convert to fraction form
    1,021.88/1,532.25 = 605.58/x
  3. Step 3: Cross multiply
    1,021.88x = 1,532.25 × 605.58
  4. Step 4: Simplify right side
    1,021.88x = 927,899.96
  5. Step 5: Solve for x
    x = 927,899.96/1,021.88
  6. Step 6: Final answer
    x = 908.03

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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.