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Finding the Fourth Proportional to 1,457.75, 2,011.67 and 794.58

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Solution

The fourth proportional to 1,457.75, 2,011.67 and 794.58 is: 1,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.75 : 2,011.67 = 794.58 : x
  2. Step 2: Convert to fraction form
    1,457.75/2,011.67 = 794.58/x
  3. Step 3: Cross multiply
    1,457.75x = 2,011.67 × 794.58
  4. Step 4: Simplify right side
    1,457.75x = 1,598,428.78
  5. Step 5: Solve for x
    x = 1,598,428.78/1,457.75
  6. Step 6: Final answer
    x = 1,096.51

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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.