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Finding the Fourth Proportional to 456.80, 680.70 and 436.54

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Solution

The fourth proportional to 456.80, 680.70 and 436.54 is: 650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.80 : 680.70 = 436.54 : x
  2. Step 2: Convert to fraction form
    456.80/680.70 = 436.54/x
  3. Step 3: Cross multiply
    456.80x = 680.70 × 436.54
  4. Step 4: Simplify right side
    456.80x = 297,152.78
  5. Step 5: Solve for x
    x = 297,152.78/456.80
  6. Step 6: Final answer
    x = 650.51

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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.