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Finding the Fourth Proportional to 650.33, 896.15 and 463.30

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Solution

The fourth proportional to 650.33, 896.15 and 463.30 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.33 : 896.15 = 463.30 : x
  2. Step 2: Convert to fraction form
    650.33/896.15 = 463.30/x
  3. Step 3: Cross multiply
    650.33x = 896.15 × 463.30
  4. Step 4: Simplify right side
    650.33x = 415,181.81
  5. Step 5: Solve for x
    x = 415,181.81/650.33
  6. Step 6: Final answer
    x = 638.42

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1.5x scale

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.