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Finding the Fourth Proportional to 881.88, 1,323.54 and 369.24

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Solution

The fourth proportional to 881.88, 1,323.54 and 369.24 is: 554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.88 : 1,323.54 = 369.24 : x
  2. Step 2: Convert to fraction form
    881.88/1,323.54 = 369.24/x
  3. Step 3: Cross multiply
    881.88x = 1,323.54 × 369.24
  4. Step 4: Simplify right side
    881.88x = 488,703.91
  5. Step 5: Solve for x
    x = 488,703.91/881.88
  6. Step 6: Final answer
    x = 554.16

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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.