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Finding the Fourth Proportional to 456.37, 680.22 and 430.42

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Solution

The fourth proportional to 456.37, 680.22 and 430.42 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.37 : 680.22 = 430.42 : x
  2. Step 2: Convert to fraction form
    456.37/680.22 = 430.42/x
  3. Step 3: Cross multiply
    456.37x = 680.22 × 430.42
  4. Step 4: Simplify right side
    456.37x = 292,779.84
  5. Step 5: Solve for x
    x = 292,779.84/456.37
  6. Step 6: Final answer
    x = 641.54

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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.