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Finding the Fourth Proportional to 696.96, 963.04 and 501.12

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Solution

The fourth proportional to 696.96, 963.04 and 501.12 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 963.04 = 501.12 : x
  2. Step 2: Convert to fraction form
    696.96/963.04 = 501.12/x
  3. Step 3: Cross multiply
    696.96x = 963.04 × 501.12
  4. Step 4: Simplify right side
    696.96x = 482,598.60
  5. Step 5: Solve for x
    x = 482,598.60/696.96
  6. Step 6: Final answer
    x = 692.43

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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.