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Finding the Fourth Proportional to 547.60, 753.42 and 428.80

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Solution

The fourth proportional to 547.60, 753.42 and 428.80 is: 589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.60 : 753.42 = 428.80 : x
  2. Step 2: Convert to fraction form
    547.60/753.42 = 428.80/x
  3. Step 3: Cross multiply
    547.60x = 753.42 × 428.80
  4. Step 4: Simplify right side
    547.60x = 323,066.50
  5. Step 5: Solve for x
    x = 323,066.50/547.60
  6. Step 6: Final answer
    x = 589.97

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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.