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Finding the Fourth Proportional to 504.49, 757.38 and 322.69

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Solution

The fourth proportional to 504.49, 757.38 and 322.69 is: 484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.49 : 757.38 = 322.69 : x
  2. Step 2: Convert to fraction form
    504.49/757.38 = 322.69/x
  3. Step 3: Cross multiply
    504.49x = 757.38 × 322.69
  4. Step 4: Simplify right side
    504.49x = 244,398.95
  5. Step 5: Solve for x
    x = 244,398.95/504.49
  6. Step 6: Final answer
    x = 484.45

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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.