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Finding the Fourth Proportional to 913.14, 1,368.92 and 419.37

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Solution

The fourth proportional to 913.14, 1,368.92 and 419.37 is: 628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.14 : 1,368.92 = 419.37 : x
  2. Step 2: Convert to fraction form
    913.14/1,368.92 = 419.37/x
  3. Step 3: Cross multiply
    913.14x = 1,368.92 × 419.37
  4. Step 4: Simplify right side
    913.14x = 574,081.88
  5. Step 5: Solve for x
    x = 574,081.88/913.14
  6. Step 6: Final answer
    x = 628.69

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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.