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Finding the Fourth Proportional to 667.77, 921.95 and 470.94

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Solution

The fourth proportional to 667.77, 921.95 and 470.94 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.77 : 921.95 = 470.94 : x
  2. Step 2: Convert to fraction form
    667.77/921.95 = 470.94/x
  3. Step 3: Cross multiply
    667.77x = 921.95 × 470.94
  4. Step 4: Simplify right side
    667.77x = 434,183.13
  5. Step 5: Solve for x
    x = 434,183.13/667.77
  6. Step 6: Final answer
    x = 650.20

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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.