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Finding the Fourth Proportional to 667.60, 921.86 and 419.34

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Solution

The fourth proportional to 667.60, 921.86 and 419.34 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.60 : 921.86 = 419.34 : x
  2. Step 2: Convert to fraction form
    667.60/921.86 = 419.34/x
  3. Step 3: Cross multiply
    667.60x = 921.86 × 419.34
  4. Step 4: Simplify right side
    667.60x = 386,572.77
  5. Step 5: Solve for x
    x = 386,572.77/667.60
  6. Step 6: Final answer
    x = 579.05

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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.