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Finding the Fourth Proportional to 688.51, 949.89 and 455.50

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Solution

The fourth proportional to 688.51, 949.89 and 455.50 is: 628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.51 : 949.89 = 455.50 : x
  2. Step 2: Convert to fraction form
    688.51/949.89 = 455.50/x
  3. Step 3: Cross multiply
    688.51x = 949.89 × 455.50
  4. Step 4: Simplify right side
    688.51x = 432,674.90
  5. Step 5: Solve for x
    x = 432,674.90/688.51
  6. Step 6: Final answer
    x = 628.42

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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.