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Finding the Fourth Proportional to 1,513.83, 2,271.18 and 691.41

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Solution

The fourth proportional to 1,513.83, 2,271.18 and 691.41 is: 1,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.83 : 2,271.18 = 691.41 : x
  2. Step 2: Convert to fraction form
    1,513.83/2,271.18 = 691.41/x
  3. Step 3: Cross multiply
    1,513.83x = 2,271.18 × 691.41
  4. Step 4: Simplify right side
    1,513.83x = 1,570,316.56
  5. Step 5: Solve for x
    x = 1,570,316.56/1,513.83
  6. Step 6: Final answer
    x = 1,037.31

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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.