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Finding the Fourth Proportional to 1,300.68, 1,950.41 and 1,053.27

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Solution

The fourth proportional to 1,300.68, 1,950.41 and 1,053.27 is: 1,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.68 : 1,950.41 = 1,053.27 : x
  2. Step 2: Convert to fraction form
    1,300.68/1,950.41 = 1,053.27/x
  3. Step 3: Cross multiply
    1,300.68x = 1,950.41 × 1,053.27
  4. Step 4: Simplify right side
    1,300.68x = 2,054,308.34
  5. Step 5: Solve for x
    x = 2,054,308.34/1,300.68
  6. Step 6: Final answer
    x = 1,579.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.