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Finding the Fourth Proportional to 1,780.95, 2,457.78 and 994.98

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Solution

The fourth proportional to 1,780.95, 2,457.78 and 994.98 is: 1,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.95 : 2,457.78 = 994.98 : x
  2. Step 2: Convert to fraction form
    1,780.95/2,457.78 = 994.98/x
  3. Step 3: Cross multiply
    1,780.95x = 2,457.78 × 994.98
  4. Step 4: Simplify right side
    1,780.95x = 2,445,441.94
  5. Step 5: Solve for x
    x = 2,445,441.94/1,780.95
  6. Step 6: Final answer
    x = 1,373.11

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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.