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Finding the Fourth Proportional to 882.46, 1,321.08 and 824.74

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Solution

The fourth proportional to 882.46, 1,321.08 and 824.74 is: 1,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.46 : 1,321.08 = 824.74 : x
  2. Step 2: Convert to fraction form
    882.46/1,321.08 = 824.74/x
  3. Step 3: Cross multiply
    882.46x = 1,321.08 × 824.74
  4. Step 4: Simplify right side
    882.46x = 1,089,547.52
  5. Step 5: Solve for x
    x = 1,089,547.52/882.46
  6. Step 6: Final answer
    x = 1,234.67

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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.