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Finding the Fourth Proportional to 1,254.49, 1,730.33 and 860.83

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Solution

The fourth proportional to 1,254.49, 1,730.33 and 860.83 is: 1,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.49 : 1,730.33 = 860.83 : x
  2. Step 2: Convert to fraction form
    1,254.49/1,730.33 = 860.83/x
  3. Step 3: Cross multiply
    1,254.49x = 1,730.33 × 860.83
  4. Step 4: Simplify right side
    1,254.49x = 1,489,511.32
  5. Step 5: Solve for x
    x = 1,489,511.32/1,254.49
  6. Step 6: Final answer
    x = 1,187.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.