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Finding the Fourth Proportional to 504.22, 752.96 and 394.78

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Solution

The fourth proportional to 504.22, 752.96 and 394.78 is: 589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.22 : 752.96 = 394.78 : x
  2. Step 2: Convert to fraction form
    504.22/752.96 = 394.78/x
  3. Step 3: Cross multiply
    504.22x = 752.96 × 394.78
  4. Step 4: Simplify right side
    504.22x = 297,253.55
  5. Step 5: Solve for x
    x = 297,253.55/504.22
  6. Step 6: Final answer
    x = 589.53

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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.