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Finding the Fourth Proportional to 632.45, 950.70 and 451.10

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Solution

The fourth proportional to 632.45, 950.70 and 451.10 is: 678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 950.70 = 451.10 : x
  2. Step 2: Convert to fraction form
    632.45/950.70 = 451.10/x
  3. Step 3: Cross multiply
    632.45x = 950.70 × 451.10
  4. Step 4: Simplify right side
    632.45x = 428,860.77
  5. Step 5: Solve for x
    x = 428,860.77/632.45
  6. Step 6: Final answer
    x = 678.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.