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Finding the Fourth Proportional to 1,020.98, 1,532.72 and 673.22

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Solution

The fourth proportional to 1,020.98, 1,532.72 and 673.22 is: 1,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.98 : 1,532.72 = 673.22 : x
  2. Step 2: Convert to fraction form
    1,020.98/1,532.72 = 673.22/x
  3. Step 3: Cross multiply
    1,020.98x = 1,532.72 × 673.22
  4. Step 4: Simplify right side
    1,020.98x = 1,031,857.76
  5. Step 5: Solve for x
    x = 1,031,857.76/1,020.98
  6. Step 6: Final answer
    x = 1,010.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.