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Finding the Fourth Proportional to 547.72, 757.02 and 431.08

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Solution

The fourth proportional to 547.72, 757.02 and 431.08 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.72 : 757.02 = 431.08 : x
  2. Step 2: Convert to fraction form
    547.72/757.02 = 431.08/x
  3. Step 3: Cross multiply
    547.72x = 757.02 × 431.08
  4. Step 4: Simplify right side
    547.72x = 326,336.18
  5. Step 5: Solve for x
    x = 326,336.18/547.72
  6. Step 6: Final answer
    x = 595.81

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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.