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Finding the Fourth Proportional to 488.38, 728.48 and 436.54

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Solution

The fourth proportional to 488.38, 728.48 and 436.54 is: 651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.38 : 728.48 = 436.54 : x
  2. Step 2: Convert to fraction form
    488.38/728.48 = 436.54/x
  3. Step 3: Cross multiply
    488.38x = 728.48 × 436.54
  4. Step 4: Simplify right side
    488.38x = 318,010.66
  5. Step 5: Solve for x
    x = 318,010.66/488.38
  6. Step 6: Final answer
    x = 651.15

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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.