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Finding the Fourth Proportional to 1,780.70, 2,457.40 and 994.78

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Solution

The fourth proportional to 1,780.70, 2,457.40 and 994.78 is: 1,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.70 : 2,457.40 = 994.78 : x
  2. Step 2: Convert to fraction form
    1,780.70/2,457.40 = 994.78/x
  3. Step 3: Cross multiply
    1,780.70x = 2,457.40 × 994.78
  4. Step 4: Simplify right side
    1,780.70x = 2,444,572.37
  5. Step 5: Solve for x
    x = 2,444,572.37/1,780.70
  6. Step 6: Final answer
    x = 1,372.82

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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.