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Finding the Fourth Proportional to 1,508.98, 2,263.89 and 860.17

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Solution

The fourth proportional to 1,508.98, 2,263.89 and 860.17 is: 1,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.98 : 2,263.89 = 860.17 : x
  2. Step 2: Convert to fraction form
    1,508.98/2,263.89 = 860.17/x
  3. Step 3: Cross multiply
    1,508.98x = 2,263.89 × 860.17
  4. Step 4: Simplify right side
    1,508.98x = 1,947,330.26
  5. Step 5: Solve for x
    x = 1,947,330.26/1,508.98
  6. Step 6: Final answer
    x = 1,290.49

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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.