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Finding the Fourth Proportional to 908.98, 1,362.05 and 543.57

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Solution

The fourth proportional to 908.98, 1,362.05 and 543.57 is: 814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.98 : 1,362.05 = 543.57 : x
  2. Step 2: Convert to fraction form
    908.98/1,362.05 = 543.57/x
  3. Step 3: Cross multiply
    908.98x = 1,362.05 × 543.57
  4. Step 4: Simplify right side
    908.98x = 740,369.52
  5. Step 5: Solve for x
    x = 740,369.52/908.98
  6. Step 6: Final answer
    x = 814.51

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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.