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Finding the Fourth Proportional to 914.14, 1,371.39 and 711.19

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Solution

The fourth proportional to 914.14, 1,371.39 and 711.19 is: 1,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.14 : 1,371.39 = 711.19 : x
  2. Step 2: Convert to fraction form
    914.14/1,371.39 = 711.19/x
  3. Step 3: Cross multiply
    914.14x = 1,371.39 × 711.19
  4. Step 4: Simplify right side
    914.14x = 975,318.85
  5. Step 5: Solve for x
    x = 975,318.85/914.14
  6. Step 6: Final answer
    x = 1,066.93

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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.