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Finding the Fourth Proportional to 543.24, 811.68 and 533.04

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Solution

The fourth proportional to 543.24, 811.68 and 533.04 is: 796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 811.68 = 533.04 : x
  2. Step 2: Convert to fraction form
    543.24/811.68 = 533.04/x
  3. Step 3: Cross multiply
    543.24x = 811.68 × 533.04
  4. Step 4: Simplify right side
    543.24x = 432,657.91
  5. Step 5: Solve for x
    x = 432,657.91/543.24
  6. Step 6: Final answer
    x = 796.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.