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Finding the Fourth Proportional to 691.75, 955.44 and 504.94

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Solution

The fourth proportional to 691.75, 955.44 and 504.94 is: 697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.75 : 955.44 = 504.94 : x
  2. Step 2: Convert to fraction form
    691.75/955.44 = 504.94/x
  3. Step 3: Cross multiply
    691.75x = 955.44 × 504.94
  4. Step 4: Simplify right side
    691.75x = 482,432.57
  5. Step 5: Solve for x
    x = 482,432.57/691.75
  6. Step 6: Final answer
    x = 697.41

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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.