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Finding the Fourth Proportional to 1,053.98, 1,454.18 and 611.62

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Solution

The fourth proportional to 1,053.98, 1,454.18 and 611.62 is: 843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.98 : 1,454.18 = 611.62 : x
  2. Step 2: Convert to fraction form
    1,053.98/1,454.18 = 611.62/x
  3. Step 3: Cross multiply
    1,053.98x = 1,454.18 × 611.62
  4. Step 4: Simplify right side
    1,053.98x = 889,405.57
  5. Step 5: Solve for x
    x = 889,405.57/1,053.98
  6. Step 6: Final answer
    x = 843.85

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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.