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Finding the Fourth Proportional to 1,014.45, 1,406.51 and 959.09

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Solution

The fourth proportional to 1,014.45, 1,406.51 and 959.09 is: 1,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.45 : 1,406.51 = 959.09 : x
  2. Step 2: Convert to fraction form
    1,014.45/1,406.51 = 959.09/x
  3. Step 3: Cross multiply
    1,014.45x = 1,406.51 × 959.09
  4. Step 4: Simplify right side
    1,014.45x = 1,348,974.75
  5. Step 5: Solve for x
    x = 1,348,974.75/1,014.45
  6. Step 6: Final answer
    x = 1,329.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.