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Finding the Fourth Proportional to 1,145.41, 1,579.47 and 980.17

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Solution

The fourth proportional to 1,145.41, 1,579.47 and 980.17 is: 1,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.41 : 1,579.47 = 980.17 : x
  2. Step 2: Convert to fraction form
    1,145.41/1,579.47 = 980.17/x
  3. Step 3: Cross multiply
    1,145.41x = 1,579.47 × 980.17
  4. Step 4: Simplify right side
    1,145.41x = 1,548,141.21
  5. Step 5: Solve for x
    x = 1,548,141.21/1,145.41
  6. Step 6: Final answer
    x = 1,351.61

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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.