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Finding the Fourth Proportional to 913.77, 1,371.17 and 386.63

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Solution

The fourth proportional to 913.77, 1,371.17 and 386.63 is: 580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.77 : 1,371.17 = 386.63 : x
  2. Step 2: Convert to fraction form
    913.77/1,371.17 = 386.63/x
  3. Step 3: Cross multiply
    913.77x = 1,371.17 × 386.63
  4. Step 4: Simplify right side
    913.77x = 530,135.46
  5. Step 5: Solve for x
    x = 530,135.46/913.77
  6. Step 6: Final answer
    x = 580.17

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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.