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Finding the Fourth Proportional to 648.09, 968.13 and 582.99

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Solution

The fourth proportional to 648.09, 968.13 and 582.99 is: 870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 968.13 = 582.99 : x
  2. Step 2: Convert to fraction form
    648.09/968.13 = 582.99/x
  3. Step 3: Cross multiply
    648.09x = 968.13 × 582.99
  4. Step 4: Simplify right side
    648.09x = 564,410.11
  5. Step 5: Solve for x
    x = 564,410.11/648.09
  6. Step 6: Final answer
    x = 870.88

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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.