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Finding the Fourth Proportional to 628.68, 942.09 and 455.71

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Solution

The fourth proportional to 628.68, 942.09 and 455.71 is: 682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.68 : 942.09 = 455.71 : x
  2. Step 2: Convert to fraction form
    628.68/942.09 = 455.71/x
  3. Step 3: Cross multiply
    628.68x = 942.09 × 455.71
  4. Step 4: Simplify right side
    628.68x = 429,319.83
  5. Step 5: Solve for x
    x = 429,319.83/628.68
  6. Step 6: Final answer
    x = 682.89

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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.