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Finding the Fourth Proportional to 455.70, 628.56 and 280.74

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Solution

The fourth proportional to 455.70, 628.56 and 280.74 is: 387.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.70 : 628.56 = 280.74 : x
  2. Step 2: Convert to fraction form
    455.70/628.56 = 280.74/x
  3. Step 3: Cross multiply
    455.70x = 628.56 × 280.74
  4. Step 4: Simplify right side
    455.70x = 176,461.93
  5. Step 5: Solve for x
    x = 176,461.93/455.70
  6. Step 6: Final answer
    x = 387.23

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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.