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Finding the Fourth Proportional to 1,057.02, 1,457.88 and 758.73

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Solution

The fourth proportional to 1,057.02, 1,457.88 and 758.73 is: 1,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,457.88 = 758.73 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,457.88 = 758.73/x
  3. Step 3: Cross multiply
    1,057.02x = 1,457.88 × 758.73
  4. Step 4: Simplify right side
    1,057.02x = 1,106,137.29
  5. Step 5: Solve for x
    x = 1,106,137.29/1,057.02
  6. Step 6: Final answer
    x = 1,046.47

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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.