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Finding the Fourth Proportional to 882.65, 1,330.63 and 823.21

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Solution

The fourth proportional to 882.65, 1,330.63 and 823.21 is: 1,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.65 : 1,330.63 = 823.21 : x
  2. Step 2: Convert to fraction form
    882.65/1,330.63 = 823.21/x
  3. Step 3: Cross multiply
    882.65x = 1,330.63 × 823.21
  4. Step 4: Simplify right side
    882.65x = 1,095,382.54
  5. Step 5: Solve for x
    x = 1,095,382.54/882.65
  6. Step 6: Final answer
    x = 1,241.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.