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Finding the Fourth Proportional to 699.72, 963.27 and 524.76

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Solution

The fourth proportional to 699.72, 963.27 and 524.76 is: 722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 963.27 = 524.76 : x
  2. Step 2: Convert to fraction form
    699.72/963.27 = 524.76/x
  3. Step 3: Cross multiply
    699.72x = 963.27 × 524.76
  4. Step 4: Simplify right side
    699.72x = 505,485.57
  5. Step 5: Solve for x
    x = 505,485.57/699.72
  6. Step 6: Final answer
    x = 722.41

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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.