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Finding the Fourth Proportional to 470.90, 650.00 and 455.51

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Solution

The fourth proportional to 470.90, 650.00 and 455.51 is: 628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.90 : 650.00 = 455.51 : x
  2. Step 2: Convert to fraction form
    470.90/650.00 = 455.51/x
  3. Step 3: Cross multiply
    470.90x = 650.00 × 455.51
  4. Step 4: Simplify right side
    470.90x = 296,084.26
  5. Step 5: Solve for x
    x = 296,084.26/470.90
  6. Step 6: Final answer
    x = 628.76

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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.