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Finding the Fourth Proportional to 470.21, 705.31 and 450.77

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Solution

The fourth proportional to 470.21, 705.31 and 450.77 is: 676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.21 : 705.31 = 450.77 : x
  2. Step 2: Convert to fraction form
    470.21/705.31 = 450.77/x
  3. Step 3: Cross multiply
    470.21x = 705.31 × 450.77
  4. Step 4: Simplify right side
    470.21x = 317,927.94
  5. Step 5: Solve for x
    x = 317,927.94/470.21
  6. Step 6: Final answer
    x = 676.15

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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.