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Finding the Fourth Proportional to 648.56, 971.20 and 578.88

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Solution

The fourth proportional to 648.56, 971.20 and 578.88 is: 866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 971.20 = 578.88 : x
  2. Step 2: Convert to fraction form
    648.56/971.20 = 578.88/x
  3. Step 3: Cross multiply
    648.56x = 971.20 × 578.88
  4. Step 4: Simplify right side
    648.56x = 562,208.26
  5. Step 5: Solve for x
    x = 562,208.26/648.56
  6. Step 6: Final answer
    x = 866.86

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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.