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Finding the Fourth Proportional to 1,040.87, 1,438.44 and 930.15

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Solution

The fourth proportional to 1,040.87, 1,438.44 and 930.15 is: 1,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.87 : 1,438.44 = 930.15 : x
  2. Step 2: Convert to fraction form
    1,040.87/1,438.44 = 930.15/x
  3. Step 3: Cross multiply
    1,040.87x = 1,438.44 × 930.15
  4. Step 4: Simplify right side
    1,040.87x = 1,337,964.97
  5. Step 5: Solve for x
    x = 1,337,964.97/1,040.87
  6. Step 6: Final answer
    x = 1,285.44

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1.5x scale

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.