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Finding the Fourth Proportional to 650.77, 898.05 and 454.75

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Solution

The fourth proportional to 650.77, 898.05 and 454.75 is: 627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.77 : 898.05 = 454.75 : x
  2. Step 2: Convert to fraction form
    650.77/898.05 = 454.75/x
  3. Step 3: Cross multiply
    650.77x = 898.05 × 454.75
  4. Step 4: Simplify right side
    650.77x = 408,388.24
  5. Step 5: Solve for x
    x = 408,388.24/650.77
  6. Step 6: Final answer
    x = 627.55

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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.