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Finding the Fourth Proportional to 945.95, 1,419.66 and 715.43

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Solution

The fourth proportional to 945.95, 1,419.66 and 715.43 is: 1,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.95 : 1,419.66 = 715.43 : x
  2. Step 2: Convert to fraction form
    945.95/1,419.66 = 715.43/x
  3. Step 3: Cross multiply
    945.95x = 1,419.66 × 715.43
  4. Step 4: Simplify right side
    945.95x = 1,015,670.90
  5. Step 5: Solve for x
    x = 1,015,670.90/945.95
  6. Step 6: Final answer
    x = 1,073.71

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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.