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Finding the Fourth Proportional to 650.90, 896.71 and 454.06

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Solution

The fourth proportional to 650.90, 896.71 and 454.06 is: 625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 896.71 = 454.06 : x
  2. Step 2: Convert to fraction form
    650.90/896.71 = 454.06/x
  3. Step 3: Cross multiply
    650.90x = 896.71 × 454.06
  4. Step 4: Simplify right side
    650.90x = 407,155.66
  5. Step 5: Solve for x
    x = 407,155.66/650.90
  6. Step 6: Final answer
    x = 625.53

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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.