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Finding the Fourth Proportional to 1,478.70, 2,216.18 and 785.70

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Solution

The fourth proportional to 1,478.70, 2,216.18 and 785.70 is: 1,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.70 : 2,216.18 = 785.70 : x
  2. Step 2: Convert to fraction form
    1,478.70/2,216.18 = 785.70/x
  3. Step 3: Cross multiply
    1,478.70x = 2,216.18 × 785.70
  4. Step 4: Simplify right side
    1,478.70x = 1,741,252.63
  5. Step 5: Solve for x
    x = 1,741,252.63/1,478.70
  6. Step 6: Final answer
    x = 1,177.56

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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.