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Finding the Fourth Proportional to 650.42, 895.75 and 648.39

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Solution

The fourth proportional to 650.42, 895.75 and 648.39 is: 892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 895.75 = 648.39 : x
  2. Step 2: Convert to fraction form
    650.42/895.75 = 648.39/x
  3. Step 3: Cross multiply
    650.42x = 895.75 × 648.39
  4. Step 4: Simplify right side
    650.42x = 580,795.34
  5. Step 5: Solve for x
    x = 580,795.34/650.42
  6. Step 6: Final answer
    x = 892.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.