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Finding the Fourth Proportional to 1,780.65, 2,670.57 and 855.63

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Solution

The fourth proportional to 1,780.65, 2,670.57 and 855.63 is: 1,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.65 : 2,670.57 = 855.63 : x
  2. Step 2: Convert to fraction form
    1,780.65/2,670.57 = 855.63/x
  3. Step 3: Cross multiply
    1,780.65x = 2,670.57 × 855.63
  4. Step 4: Simplify right side
    1,780.65x = 2,285,019.81
  5. Step 5: Solve for x
    x = 2,285,019.81/1,780.65
  6. Step 6: Final answer
    x = 1,283.25

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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.