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Finding the Fourth Proportional to 1,441.46, 2,160.79 and 782.74

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Solution

The fourth proportional to 1,441.46, 2,160.79 and 782.74 is: 1,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.46 : 2,160.79 = 782.74 : x
  2. Step 2: Convert to fraction form
    1,441.46/2,160.79 = 782.74/x
  3. Step 3: Cross multiply
    1,441.46x = 2,160.79 × 782.74
  4. Step 4: Simplify right side
    1,441.46x = 1,691,336.76
  5. Step 5: Solve for x
    x = 1,691,336.76/1,441.46
  6. Step 6: Final answer
    x = 1,173.35

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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.