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Finding the Fourth Proportional to 945.88, 1,419.06 and 296.76

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Solution

The fourth proportional to 945.88, 1,419.06 and 296.76 is: 445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.88 : 1,419.06 = 296.76 : x
  2. Step 2: Convert to fraction form
    945.88/1,419.06 = 296.76/x
  3. Step 3: Cross multiply
    945.88x = 1,419.06 × 296.76
  4. Step 4: Simplify right side
    945.88x = 421,120.25
  5. Step 5: Solve for x
    x = 421,120.25/945.88
  6. Step 6: Final answer
    x = 445.22

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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.