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Finding the Fourth Proportional to 698.23, 962.68 and 603.73

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Solution

The fourth proportional to 698.23, 962.68 and 603.73 is: 832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.23 : 962.68 = 603.73 : x
  2. Step 2: Convert to fraction form
    698.23/962.68 = 603.73/x
  3. Step 3: Cross multiply
    698.23x = 962.68 × 603.73
  4. Step 4: Simplify right side
    698.23x = 581,194.88
  5. Step 5: Solve for x
    x = 581,194.88/698.23
  6. Step 6: Final answer
    x = 832.39

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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.