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Finding the Fourth Proportional to 698.92, 964.26 and 465.64

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Solution

The fourth proportional to 698.92, 964.26 and 465.64 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.92 : 964.26 = 465.64 : x
  2. Step 2: Convert to fraction form
    698.92/964.26 = 465.64/x
  3. Step 3: Cross multiply
    698.92x = 964.26 × 465.64
  4. Step 4: Simplify right side
    698.92x = 448,998.03
  5. Step 5: Solve for x
    x = 448,998.03/698.92
  6. Step 6: Final answer
    x = 642.42

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Double scale
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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.