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Finding the Fourth Proportional to 633.36, 948.48 and 495.24

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Solution

The fourth proportional to 633.36, 948.48 and 495.24 is: 741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 948.48 = 495.24 : x
  2. Step 2: Convert to fraction form
    633.36/948.48 = 495.24/x
  3. Step 3: Cross multiply
    633.36x = 948.48 × 495.24
  4. Step 4: Simplify right side
    633.36x = 469,725.24
  5. Step 5: Solve for x
    x = 469,725.24/633.36
  6. Step 6: Final answer
    x = 741.64

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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.