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Finding the Fourth Proportional to 547.50, 756.90 and 524.55

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Solution

The fourth proportional to 547.50, 756.90 and 524.55 is: 725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 756.90 = 524.55 : x
  2. Step 2: Convert to fraction form
    547.50/756.90 = 524.55/x
  3. Step 3: Cross multiply
    547.50x = 756.90 × 524.55
  4. Step 4: Simplify right side
    547.50x = 397,031.90
  5. Step 5: Solve for x
    x = 397,031.90/547.50
  6. Step 6: Final answer
    x = 725.17

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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.