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Finding the Fourth Proportional to 650.84, 896.27 and 454.01

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Solution

The fourth proportional to 650.84, 896.27 and 454.01 is: 625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.84 : 896.27 = 454.01 : x
  2. Step 2: Convert to fraction form
    650.84/896.27 = 454.01/x
  3. Step 3: Cross multiply
    650.84x = 896.27 × 454.01
  4. Step 4: Simplify right side
    650.84x = 406,908.79
  5. Step 5: Solve for x
    x = 406,908.79/650.84
  6. Step 6: Final answer
    x = 625.21

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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.