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Finding the Fourth Proportional to 1,057.68, 1,457.97 and 778.23

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Solution

The fourth proportional to 1,057.68, 1,457.97 and 778.23 is: 1,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,457.97 = 778.23 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,457.97 = 778.23/x
  3. Step 3: Cross multiply
    1,057.68x = 1,457.97 × 778.23
  4. Step 4: Simplify right side
    1,057.68x = 1,134,633.07
  5. Step 5: Solve for x
    x = 1,134,633.07/1,057.68
  6. Step 6: Final answer
    x = 1,072.76

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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.