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Finding the Fourth Proportional to 1,283.57, 1,929.65 and 1,012.92

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Solution

The fourth proportional to 1,283.57, 1,929.65 and 1,012.92 is: 1,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.57 : 1,929.65 = 1,012.92 : x
  2. Step 2: Convert to fraction form
    1,283.57/1,929.65 = 1,012.92/x
  3. Step 3: Cross multiply
    1,283.57x = 1,929.65 × 1,012.92
  4. Step 4: Simplify right side
    1,283.57x = 1,954,576.01
  5. Step 5: Solve for x
    x = 1,954,576.01/1,283.57
  6. Step 6: Final answer
    x = 1,522.77

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1.5x scale

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.