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Finding the Fourth Proportional to 543.05, 809.99 and 455.36

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Solution

The fourth proportional to 543.05, 809.99 and 455.36 is: 679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.05 : 809.99 = 455.36 : x
  2. Step 2: Convert to fraction form
    543.05/809.99 = 455.36/x
  3. Step 3: Cross multiply
    543.05x = 809.99 × 455.36
  4. Step 4: Simplify right side
    543.05x = 368,830.72
  5. Step 5: Solve for x
    x = 368,830.72/543.05
  6. Step 6: Final answer
    x = 679.19

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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.