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Finding the Fourth Proportional to 913.56, 1,363.67 and 804.21

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Solution

The fourth proportional to 913.56, 1,363.67 and 804.21 is: 1,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.56 : 1,363.67 = 804.21 : x
  2. Step 2: Convert to fraction form
    913.56/1,363.67 = 804.21/x
  3. Step 3: Cross multiply
    913.56x = 1,363.67 × 804.21
  4. Step 4: Simplify right side
    913.56x = 1,096,673.03
  5. Step 5: Solve for x
    x = 1,096,673.03/913.56
  6. Step 6: Final answer
    x = 1,200.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.