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Finding the Fourth Proportional to 648.16, 886.96 and 634.72

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Solution

The fourth proportional to 648.16, 886.96 and 634.72 is: 868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 886.96 = 634.72 : x
  2. Step 2: Convert to fraction form
    648.16/886.96 = 634.72/x
  3. Step 3: Cross multiply
    648.16x = 886.96 × 634.72
  4. Step 4: Simplify right side
    648.16x = 562,971.25
  5. Step 5: Solve for x
    x = 562,971.25/648.16
  6. Step 6: Final answer
    x = 868.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.