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Finding the Fourth Proportional to 547.48, 756.30 and 429.76

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Solution

The fourth proportional to 547.48, 756.30 and 429.76 is: 593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.48 : 756.30 = 429.76 : x
  2. Step 2: Convert to fraction form
    547.48/756.30 = 429.76/x
  3. Step 3: Cross multiply
    547.48x = 756.30 × 429.76
  4. Step 4: Simplify right side
    547.48x = 325,027.49
  5. Step 5: Solve for x
    x = 325,027.49/547.48
  6. Step 6: Final answer
    x = 593.68

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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.