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Finding the Fourth Proportional to 698.75, 964.94 and 450.52

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Solution

The fourth proportional to 698.75, 964.94 and 450.52 is: 622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.75 : 964.94 = 450.52 : x
  2. Step 2: Convert to fraction form
    698.75/964.94 = 450.52/x
  3. Step 3: Cross multiply
    698.75x = 964.94 × 450.52
  4. Step 4: Simplify right side
    698.75x = 434,717.69
  5. Step 5: Solve for x
    x = 434,717.69/698.75
  6. Step 6: Final answer
    x = 622.14

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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.