Home / 1,511.34-2,265.18-689.40

Finding the Fourth Proportional to 1,511.34, 2,265.18 and 689.40

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Solution

The fourth proportional to 1,511.34, 2,265.18 and 689.40 is: 1,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.34 : 2,265.18 = 689.40 : x
  2. Step 2: Convert to fraction form
    1,511.34/2,265.18 = 689.40/x
  3. Step 3: Cross multiply
    1,511.34x = 2,265.18 × 689.40
  4. Step 4: Simplify right side
    1,511.34x = 1,561,615.09
  5. Step 5: Solve for x
    x = 1,561,615.09/1,511.34
  6. Step 6: Final answer
    x = 1,033.27

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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.