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Finding the Fourth Proportional to 689.92, 951.36 and 456.64

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Solution

The fourth proportional to 689.92, 951.36 and 456.64 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 951.36 = 456.64 : x
  2. Step 2: Convert to fraction form
    689.92/951.36 = 456.64/x
  3. Step 3: Cross multiply
    689.92x = 951.36 × 456.64
  4. Step 4: Simplify right side
    689.92x = 434,429.03
  5. Step 5: Solve for x
    x = 434,429.03/689.92
  6. Step 6: Final answer
    x = 629.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.