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Finding the Fourth Proportional to 667.74, 920.84 and 458.22

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Solution

The fourth proportional to 667.74, 920.84 and 458.22 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.74 : 920.84 = 458.22 : x
  2. Step 2: Convert to fraction form
    667.74/920.84 = 458.22/x
  3. Step 3: Cross multiply
    667.74x = 920.84 × 458.22
  4. Step 4: Simplify right side
    667.74x = 421,947.30
  5. Step 5: Solve for x
    x = 421,947.30/667.74
  6. Step 6: Final answer
    x = 631.90

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1.5x scale

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.