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Finding the Fourth Proportional to 648.96, 892.18 and 645.06

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Solution

The fourth proportional to 648.96, 892.18 and 645.06 is: 886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 892.18 = 645.06 : x
  2. Step 2: Convert to fraction form
    648.96/892.18 = 645.06/x
  3. Step 3: Cross multiply
    648.96x = 892.18 × 645.06
  4. Step 4: Simplify right side
    648.96x = 575,509.63
  5. Step 5: Solve for x
    x = 575,509.63/648.96
  6. Step 6: Final answer
    x = 886.82

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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.