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Finding the Fourth Proportional to 984.74, 1,358.92 and 536.60

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Solution

The fourth proportional to 984.74, 1,358.92 and 536.60 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.74 : 1,358.92 = 536.60 : x
  2. Step 2: Convert to fraction form
    984.74/1,358.92 = 536.60/x
  3. Step 3: Cross multiply
    984.74x = 1,358.92 × 536.60
  4. Step 4: Simplify right side
    984.74x = 729,198.53
  5. Step 5: Solve for x
    x = 729,198.53/984.74
  6. Step 6: Final answer
    x = 740.50

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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.