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Finding the Fourth Proportional to 1,053.25, 1,456.10 and 790.81

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Solution

The fourth proportional to 1,053.25, 1,456.10 and 790.81 is: 1,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.25 : 1,456.10 = 790.81 : x
  2. Step 2: Convert to fraction form
    1,053.25/1,456.10 = 790.81/x
  3. Step 3: Cross multiply
    1,053.25x = 1,456.10 × 790.81
  4. Step 4: Simplify right side
    1,053.25x = 1,151,498.44
  5. Step 5: Solve for x
    x = 1,151,498.44/1,053.25
  6. Step 6: Final answer
    x = 1,093.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.