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Finding the Fourth Proportional to 1,022.34, 1,529.62 and 676.51

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Solution

The fourth proportional to 1,022.34, 1,529.62 and 676.51 is: 1,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.34 : 1,529.62 = 676.51 : x
  2. Step 2: Convert to fraction form
    1,022.34/1,529.62 = 676.51/x
  3. Step 3: Cross multiply
    1,022.34x = 1,529.62 × 676.51
  4. Step 4: Simplify right side
    1,022.34x = 1,034,799.84
  5. Step 5: Solve for x
    x = 1,034,799.84/1,022.34
  6. Step 6: Final answer
    x = 1,012.19

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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.