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Finding the Fourth Proportional to 1,020.76, 1,531.76 and 443.64

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Solution

The fourth proportional to 1,020.76, 1,531.76 and 443.64 is: 665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.76 : 1,531.76 = 443.64 : x
  2. Step 2: Convert to fraction form
    1,020.76/1,531.76 = 443.64/x
  3. Step 3: Cross multiply
    1,020.76x = 1,531.76 × 443.64
  4. Step 4: Simplify right side
    1,020.76x = 679,550.01
  5. Step 5: Solve for x
    x = 679,550.01/1,020.76
  6. Step 6: Final answer
    x = 665.73

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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.