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Finding the Fourth Proportional to 913.80, 1,371.39 and 785.28

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Solution

The fourth proportional to 913.80, 1,371.39 and 785.28 is: 1,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.80 : 1,371.39 = 785.28 : x
  2. Step 2: Convert to fraction form
    913.80/1,371.39 = 785.28/x
  3. Step 3: Cross multiply
    913.80x = 1,371.39 × 785.28
  4. Step 4: Simplify right side
    913.80x = 1,076,925.14
  5. Step 5: Solve for x
    x = 1,076,925.14/913.80
  6. Step 6: Final answer
    x = 1,178.51

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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.