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Finding the Fourth Proportional to 547.50, 815.78 and 505.58

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Solution

The fourth proportional to 547.50, 815.78 and 505.58 is: 753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 815.78 = 505.58 : x
  2. Step 2: Convert to fraction form
    547.50/815.78 = 505.58/x
  3. Step 3: Cross multiply
    547.50x = 815.78 × 505.58
  4. Step 4: Simplify right side
    547.50x = 412,441.56
  5. Step 5: Solve for x
    x = 412,441.56/547.50
  6. Step 6: Final answer
    x = 753.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.