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Finding the Fourth Proportional to 504.87, 757.75 and 322.41

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Solution

The fourth proportional to 504.87, 757.75 and 322.41 is: 483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.87 : 757.75 = 322.41 : x
  2. Step 2: Convert to fraction form
    504.87/757.75 = 322.41/x
  3. Step 3: Cross multiply
    504.87x = 757.75 × 322.41
  4. Step 4: Simplify right side
    504.87x = 244,306.18
  5. Step 5: Solve for x
    x = 244,306.18/504.87
  6. Step 6: Final answer
    x = 483.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.