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Finding the Fourth Proportional to 1,352.99, 1,867.08 and 763.50

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Solution

The fourth proportional to 1,352.99, 1,867.08 and 763.50 is: 1,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.99 : 1,867.08 = 763.50 : x
  2. Step 2: Convert to fraction form
    1,352.99/1,867.08 = 763.50/x
  3. Step 3: Cross multiply
    1,352.99x = 1,867.08 × 763.50
  4. Step 4: Simplify right side
    1,352.99x = 1,425,515.58
  5. Step 5: Solve for x
    x = 1,425,515.58/1,352.99
  6. Step 6: Final answer
    x = 1,053.61

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