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Finding the Fourth Proportional to 697.16, 955.80 and 664.88

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Solution

The fourth proportional to 697.16, 955.80 and 664.88 is: 911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.16 : 955.80 = 664.88 : x
  2. Step 2: Convert to fraction form
    697.16/955.80 = 664.88/x
  3. Step 3: Cross multiply
    697.16x = 955.80 × 664.88
  4. Step 4: Simplify right side
    697.16x = 635,487.53
  5. Step 5: Solve for x
    x = 635,487.53/697.16
  6. Step 6: Final answer
    x = 911.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.