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Finding the Fourth Proportional to 882.58, 1,215.50 and 682.67

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Solution

The fourth proportional to 882.58, 1,215.50 and 682.67 is: 940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.58 : 1,215.50 = 682.67 : x
  2. Step 2: Convert to fraction form
    882.58/1,215.50 = 682.67/x
  3. Step 3: Cross multiply
    882.58x = 1,215.50 × 682.67
  4. Step 4: Simplify right side
    882.58x = 829,785.39
  5. Step 5: Solve for x
    x = 829,785.39/882.58
  6. Step 6: Final answer
    x = 940.18

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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.