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Finding the Fourth Proportional to 882.13, 1,322.29 and 361.91

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Solution

The fourth proportional to 882.13, 1,322.29 and 361.91 is: 542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.13 : 1,322.29 = 361.91 : x
  2. Step 2: Convert to fraction form
    882.13/1,322.29 = 361.91/x
  3. Step 3: Cross multiply
    882.13x = 1,322.29 × 361.91
  4. Step 4: Simplify right side
    882.13x = 478,549.97
  5. Step 5: Solve for x
    x = 478,549.97/882.13
  6. Step 6: Final answer
    x = 542.49

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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.