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Finding the Fourth Proportional to 698.30, 962.88 and 449.60

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Solution

The fourth proportional to 698.30, 962.88 and 449.60 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.30 : 962.88 = 449.60 : x
  2. Step 2: Convert to fraction form
    698.30/962.88 = 449.60/x
  3. Step 3: Cross multiply
    698.30x = 962.88 × 449.60
  4. Step 4: Simplify right side
    698.30x = 432,910.85
  5. Step 5: Solve for x
    x = 432,910.85/698.30
  6. Step 6: Final answer
    x = 619.95

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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.