Home / 1,511.90-2,268.64-742.40

Finding the Fourth Proportional to 1,511.90, 2,268.64 and 742.40

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Solution

The fourth proportional to 1,511.90, 2,268.64 and 742.40 is: 1,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.90 : 2,268.64 = 742.40 : x
  2. Step 2: Convert to fraction form
    1,511.90/2,268.64 = 742.40/x
  3. Step 3: Cross multiply
    1,511.90x = 2,268.64 × 742.40
  4. Step 4: Simplify right side
    1,511.90x = 1,684,238.34
  5. Step 5: Solve for x
    x = 1,684,238.34/1,511.90
  6. Step 6: Final answer
    x = 1,113.99

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Why These Related Problems?

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