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Finding the Fourth Proportional to 650.04, 968.78 and 649.01

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Solution

The fourth proportional to 650.04, 968.78 and 649.01 is: 967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.04 : 968.78 = 649.01 : x
  2. Step 2: Convert to fraction form
    650.04/968.78 = 649.01/x
  3. Step 3: Cross multiply
    650.04x = 968.78 × 649.01
  4. Step 4: Simplify right side
    650.04x = 628,747.91
  5. Step 5: Solve for x
    x = 628,747.91/650.04
  6. Step 6: Final answer
    x = 967.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.