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Finding the Fourth Proportional to 650.12, 895.86 and 463.28

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Solution

The fourth proportional to 650.12, 895.86 and 463.28 is: 638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.12 : 895.86 = 463.28 : x
  2. Step 2: Convert to fraction form
    650.12/895.86 = 463.28/x
  3. Step 3: Cross multiply
    650.12x = 895.86 × 463.28
  4. Step 4: Simplify right side
    650.12x = 415,029.54
  5. Step 5: Solve for x
    x = 415,029.54/650.12
  6. Step 6: Final answer
    x = 638.39

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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.