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Finding the Fourth Proportional to 504.89, 693.78 and 411.44

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Solution

The fourth proportional to 504.89, 693.78 and 411.44 is: 565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.89 : 693.78 = 411.44 : x
  2. Step 2: Convert to fraction form
    504.89/693.78 = 411.44/x
  3. Step 3: Cross multiply
    504.89x = 693.78 × 411.44
  4. Step 4: Simplify right side
    504.89x = 285,445.37
  5. Step 5: Solve for x
    x = 285,445.37/504.89
  6. Step 6: Final answer
    x = 565.37

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.