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Finding the Fourth Proportional to 504.56, 699.74 and 472.88

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Solution

The fourth proportional to 504.56, 699.74 and 472.88 is: 655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 699.74 = 472.88 : x
  2. Step 2: Convert to fraction form
    504.56/699.74 = 472.88/x
  3. Step 3: Cross multiply
    504.56x = 699.74 × 472.88
  4. Step 4: Simplify right side
    504.56x = 330,893.05
  5. Step 5: Solve for x
    x = 330,893.05/504.56
  6. Step 6: Final answer
    x = 655.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.