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Finding the Fourth Proportional to 650.28, 896.83 and 508.53

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Solution

The fourth proportional to 650.28, 896.83 and 508.53 is: 701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 896.83 = 508.53 : x
  2. Step 2: Convert to fraction form
    650.28/896.83 = 508.53/x
  3. Step 3: Cross multiply
    650.28x = 896.83 × 508.53
  4. Step 4: Simplify right side
    650.28x = 456,064.96
  5. Step 5: Solve for x
    x = 456,064.96/650.28
  6. Step 6: Final answer
    x = 701.34

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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.