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Finding the Fourth Proportional to 648.30, 967.46 and 579.10

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Solution

The fourth proportional to 648.30, 967.46 and 579.10 is: 864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 967.46 = 579.10 : x
  2. Step 2: Convert to fraction form
    648.30/967.46 = 579.10/x
  3. Step 3: Cross multiply
    648.30x = 967.46 × 579.10
  4. Step 4: Simplify right side
    648.30x = 560,256.09
  5. Step 5: Solve for x
    x = 560,256.09/648.30
  6. Step 6: Final answer
    x = 864.19

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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.