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Finding the Fourth Proportional to 984.66, 1,358.83 and 591.71

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Solution

The fourth proportional to 984.66, 1,358.83 and 591.71 is: 816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.66 : 1,358.83 = 591.71 : x
  2. Step 2: Convert to fraction form
    984.66/1,358.83 = 591.71/x
  3. Step 3: Cross multiply
    984.66x = 1,358.83 × 591.71
  4. Step 4: Simplify right side
    984.66x = 804,023.92
  5. Step 5: Solve for x
    x = 804,023.92/984.66
  6. Step 6: Final answer
    x = 816.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.