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Finding the Fourth Proportional to 908.28, 1,366.55 and 543.35

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Solution

The fourth proportional to 908.28, 1,366.55 and 543.35 is: 817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.28 : 1,366.55 = 543.35 : x
  2. Step 2: Convert to fraction form
    908.28/1,366.55 = 543.35/x
  3. Step 3: Cross multiply
    908.28x = 1,366.55 × 543.35
  4. Step 4: Simplify right side
    908.28x = 742,505.39
  5. Step 5: Solve for x
    x = 742,505.39/908.28
  6. Step 6: Final answer
    x = 817.49

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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.