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Finding the Fourth Proportional to 1,511.49, 2,265.08 and 860.88

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Solution

The fourth proportional to 1,511.49, 2,265.08 and 860.88 is: 1,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.49 : 2,265.08 = 860.88 : x
  2. Step 2: Convert to fraction form
    1,511.49/2,265.08 = 860.88/x
  3. Step 3: Cross multiply
    1,511.49x = 2,265.08 × 860.88
  4. Step 4: Simplify right side
    1,511.49x = 1,949,957.77
  5. Step 5: Solve for x
    x = 1,949,957.77/1,511.49
  6. Step 6: Final answer
    x = 1,290.09

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1.5x scale

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.