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Finding the Fourth Proportional to 647.20, 969.44 and 502.24

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Solution

The fourth proportional to 647.20, 969.44 and 502.24 is: 752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.20 : 969.44 = 502.24 : x
  2. Step 2: Convert to fraction form
    647.20/969.44 = 502.24/x
  3. Step 3: Cross multiply
    647.20x = 969.44 × 502.24
  4. Step 4: Simplify right side
    647.20x = 486,891.55
  5. Step 5: Solve for x
    x = 486,891.55/647.20
  6. Step 6: Final answer
    x = 752.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.