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Finding the Fourth Proportional to 648.21, 968.31 and 583.11

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Solution

The fourth proportional to 648.21, 968.31 and 583.11 is: 871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.21 : 968.31 = 583.11 : x
  2. Step 2: Convert to fraction form
    648.21/968.31 = 583.11/x
  3. Step 3: Cross multiply
    648.21x = 968.31 × 583.11
  4. Step 4: Simplify right side
    648.21x = 564,631.24
  5. Step 5: Solve for x
    x = 564,631.24/648.21
  6. Step 6: Final answer
    x = 871.06

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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.