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Finding the Fourth Proportional to 648.68, 969.60 and 502.88

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Solution

The fourth proportional to 648.68, 969.60 and 502.88 is: 751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 969.60 = 502.88 : x
  2. Step 2: Convert to fraction form
    648.68/969.60 = 502.88/x
  3. Step 3: Cross multiply
    648.68x = 969.60 × 502.88
  4. Step 4: Simplify right side
    648.68x = 487,589.49
  5. Step 5: Solve for x
    x = 487,589.49/648.68
  6. Step 6: Final answer
    x = 751.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.