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Finding the Fourth Proportional to 493.64, 736.40 and 480.23

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Solution

The fourth proportional to 493.64, 736.40 and 480.23 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.64 : 736.40 = 480.23 : x
  2. Step 2: Convert to fraction form
    493.64/736.40 = 480.23/x
  3. Step 3: Cross multiply
    493.64x = 736.40 × 480.23
  4. Step 4: Simplify right side
    493.64x = 353,638.89
  5. Step 5: Solve for x
    x = 353,638.89/493.64
  6. Step 6: Final answer
    x = 716.40

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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.