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Finding the Fourth Proportional to 913.82, 1,371.02 and 393.62

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Solution

The fourth proportional to 913.82, 1,371.02 and 393.62 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.82 : 1,371.02 = 393.62 : x
  2. Step 2: Convert to fraction form
    913.82/1,371.02 = 393.62/x
  3. Step 3: Cross multiply
    913.82x = 1,371.02 × 393.62
  4. Step 4: Simplify right side
    913.82x = 539,652.07
  5. Step 5: Solve for x
    x = 539,652.07/913.82
  6. Step 6: Final answer
    x = 590.55

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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.