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Finding the Fourth Proportional to 456.62, 680.59 and 430.67

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Solution

The fourth proportional to 456.62, 680.59 and 430.67 is: 641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 680.59 = 430.67 : x
  2. Step 2: Convert to fraction form
    456.62/680.59 = 430.67/x
  3. Step 3: Cross multiply
    456.62x = 680.59 × 430.67
  4. Step 4: Simplify right side
    456.62x = 293,110.32
  5. Step 5: Solve for x
    x = 293,110.32/456.62
  6. Step 6: Final answer
    x = 641.92

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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.