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Finding the Fourth Proportional to 945.76, 1,419.84 and 906.88

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Solution

The fourth proportional to 945.76, 1,419.84 and 906.88 is: 1,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.76 : 1,419.84 = 906.88 : x
  2. Step 2: Convert to fraction form
    945.76/1,419.84 = 906.88/x
  3. Step 3: Cross multiply
    945.76x = 1,419.84 × 906.88
  4. Step 4: Simplify right side
    945.76x = 1,287,624.50
  5. Step 5: Solve for x
    x = 1,287,624.50/945.76
  6. Step 6: Final answer
    x = 1,361.47

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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.