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Finding the Fourth Proportional to 543.54, 818.09 and 407.32

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Solution

The fourth proportional to 543.54, 818.09 and 407.32 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.54 : 818.09 = 407.32 : x
  2. Step 2: Convert to fraction form
    543.54/818.09 = 407.32/x
  3. Step 3: Cross multiply
    543.54x = 818.09 × 407.32
  4. Step 4: Simplify right side
    543.54x = 333,224.42
  5. Step 5: Solve for x
    x = 333,224.42/543.54
  6. Step 6: Final answer
    x = 613.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.