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Finding the Fourth Proportional to 697.63, 962.34 and 445.08

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Solution

The fourth proportional to 697.63, 962.34 and 445.08 is: 613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.63 : 962.34 = 445.08 : x
  2. Step 2: Convert to fraction form
    697.63/962.34 = 445.08/x
  3. Step 3: Cross multiply
    697.63x = 962.34 × 445.08
  4. Step 4: Simplify right side
    697.63x = 428,318.29
  5. Step 5: Solve for x
    x = 428,318.29/697.63
  6. Step 6: Final answer
    x = 613.96

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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.