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Finding the Fourth Proportional to 882.89, 1,216.72 and 764.50

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Solution

The fourth proportional to 882.89, 1,216.72 and 764.50 is: 1,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.89 : 1,216.72 = 764.50 : x
  2. Step 2: Convert to fraction form
    882.89/1,216.72 = 764.50/x
  3. Step 3: Cross multiply
    882.89x = 1,216.72 × 764.50
  4. Step 4: Simplify right side
    882.89x = 930,182.44
  5. Step 5: Solve for x
    x = 930,182.44/882.89
  6. Step 6: Final answer
    x = 1,053.57

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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.