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Finding the Fourth Proportional to 543.43, 749.94 and 294.75

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Solution

The fourth proportional to 543.43, 749.94 and 294.75 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.43 : 749.94 = 294.75 : x
  2. Step 2: Convert to fraction form
    543.43/749.94 = 294.75/x
  3. Step 3: Cross multiply
    543.43x = 749.94 × 294.75
  4. Step 4: Simplify right side
    543.43x = 221,043.34
  5. Step 5: Solve for x
    x = 221,043.34/543.43
  6. Step 6: Final answer
    x = 406.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.