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Finding the Fourth Proportional to 913.71, 1,371.75 and 784.55

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Solution

The fourth proportional to 913.71, 1,371.75 and 784.55 is: 1,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.71 : 1,371.75 = 784.55 : x
  2. Step 2: Convert to fraction form
    913.71/1,371.75 = 784.55/x
  3. Step 3: Cross multiply
    913.71x = 1,371.75 × 784.55
  4. Step 4: Simplify right side
    913.71x = 1,076,199.60
  5. Step 5: Solve for x
    x = 1,076,199.60/913.71
  6. Step 6: Final answer
    x = 1,177.83

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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.