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Finding the Fourth Proportional to 882.19, 1,322.77 and 265.71

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Solution

The fourth proportional to 882.19, 1,322.77 and 265.71 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,322.77 = 265.71 : x
  2. Step 2: Convert to fraction form
    882.19/1,322.77 = 265.71/x
  3. Step 3: Cross multiply
    882.19x = 1,322.77 × 265.71
  4. Step 4: Simplify right side
    882.19x = 351,473.22
  5. Step 5: Solve for x
    x = 351,473.22/882.19
  6. Step 6: Final answer
    x = 398.41

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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.