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Finding the Fourth Proportional to 543.62, 811.03 and 465.68

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Solution

The fourth proportional to 543.62, 811.03 and 465.68 is: 694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.62 : 811.03 = 465.68 : x
  2. Step 2: Convert to fraction form
    543.62/811.03 = 465.68/x
  3. Step 3: Cross multiply
    543.62x = 811.03 × 465.68
  4. Step 4: Simplify right side
    543.62x = 377,680.45
  5. Step 5: Solve for x
    x = 377,680.45/543.62
  6. Step 6: Final answer
    x = 694.75

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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.