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Finding the Fourth Proportional to 543.24, 814.46 and 282.92

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Solution

The fourth proportional to 543.24, 814.46 and 282.92 is: 424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 814.46 = 282.92 : x
  2. Step 2: Convert to fraction form
    543.24/814.46 = 282.92/x
  3. Step 3: Cross multiply
    543.24x = 814.46 × 282.92
  4. Step 4: Simplify right side
    543.24x = 230,421.54
  5. Step 5: Solve for x
    x = 230,421.54/543.24
  6. Step 6: Final answer
    x = 424.16

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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.