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Finding the Fourth Proportional to 697.99, 962.89 and 461.88

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Solution

The fourth proportional to 697.99, 962.89 and 461.88 is: 637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.99 : 962.89 = 461.88 : x
  2. Step 2: Convert to fraction form
    697.99/962.89 = 461.88/x
  3. Step 3: Cross multiply
    697.99x = 962.89 × 461.88
  4. Step 4: Simplify right side
    697.99x = 444,739.63
  5. Step 5: Solve for x
    x = 444,739.63/697.99
  6. Step 6: Final answer
    x = 637.17

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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.