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Finding the Fourth Proportional to 547.34, 755.34 and 429.46

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Solution

The fourth proportional to 547.34, 755.34 and 429.46 is: 592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 755.34 = 429.46 : x
  2. Step 2: Convert to fraction form
    547.34/755.34 = 429.46/x
  3. Step 3: Cross multiply
    547.34x = 755.34 × 429.46
  4. Step 4: Simplify right side
    547.34x = 324,384.54
  5. Step 5: Solve for x
    x = 324,384.54/547.34
  6. Step 6: Final answer
    x = 592.66

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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.