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Finding the Fourth Proportional to 913.54, 1,371.49 and 784.37

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Solution

The fourth proportional to 913.54, 1,371.49 and 784.37 is: 1,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.54 : 1,371.49 = 784.37 : x
  2. Step 2: Convert to fraction form
    913.54/1,371.49 = 784.37/x
  3. Step 3: Cross multiply
    913.54x = 1,371.49 × 784.37
  4. Step 4: Simplify right side
    913.54x = 1,075,755.61
  5. Step 5: Solve for x
    x = 1,075,755.61/913.54
  6. Step 6: Final answer
    x = 1,177.57

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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.