Home / 1,511.27-2,265.84-688.41

Finding the Fourth Proportional to 1,511.27, 2,265.84 and 688.41

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Solution

The fourth proportional to 1,511.27, 2,265.84 and 688.41 is: 1,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.27 : 2,265.84 = 688.41 : x
  2. Step 2: Convert to fraction form
    1,511.27/2,265.84 = 688.41/x
  3. Step 3: Cross multiply
    1,511.27x = 2,265.84 × 688.41
  4. Step 4: Simplify right side
    1,511.27x = 1,559,826.91
  5. Step 5: Solve for x
    x = 1,559,826.91/1,511.27
  6. Step 6: Final answer
    x = 1,032.13

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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.