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Finding the Fourth Proportional to 504.72, 696.98 and 477.44

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Solution

The fourth proportional to 504.72, 696.98 and 477.44 is: 659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.72 : 696.98 = 477.44 : x
  2. Step 2: Convert to fraction form
    504.72/696.98 = 477.44/x
  3. Step 3: Cross multiply
    504.72x = 696.98 × 477.44
  4. Step 4: Simplify right side
    504.72x = 332,766.13
  5. Step 5: Solve for x
    x = 332,766.13/504.72
  6. Step 6: Final answer
    x = 659.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.