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Finding the Fourth Proportional to 648.56, 971.64 and 579.40

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Solution

The fourth proportional to 648.56, 971.64 and 579.40 is: 868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 971.64 = 579.40 : x
  2. Step 2: Convert to fraction form
    648.56/971.64 = 579.40/x
  3. Step 3: Cross multiply
    648.56x = 971.64 × 579.40
  4. Step 4: Simplify right side
    648.56x = 562,968.22
  5. Step 5: Solve for x
    x = 562,968.22/648.56
  6. Step 6: Final answer
    x = 868.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.