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Finding the Fourth Proportional to 697.88, 964.14 and 649.28

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Solution

The fourth proportional to 697.88, 964.14 and 649.28 is: 897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.88 : 964.14 = 649.28 : x
  2. Step 2: Convert to fraction form
    697.88/964.14 = 649.28/x
  3. Step 3: Cross multiply
    697.88x = 964.14 × 649.28
  4. Step 4: Simplify right side
    697.88x = 625,996.82
  5. Step 5: Solve for x
    x = 625,996.82/697.88
  6. Step 6: Final answer
    x = 897.00

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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.