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Finding the Fourth Proportional to 1,020.74, 1,408.12 and 688.60

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Solution

The fourth proportional to 1,020.74, 1,408.12 and 688.60 is: 949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.74 : 1,408.12 = 688.60 : x
  2. Step 2: Convert to fraction form
    1,020.74/1,408.12 = 688.60/x
  3. Step 3: Cross multiply
    1,020.74x = 1,408.12 × 688.60
  4. Step 4: Simplify right side
    1,020.74x = 969,626.19
  5. Step 5: Solve for x
    x = 969,626.19/1,020.74
  6. Step 6: Final answer
    x = 949.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.