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Finding the Fourth Proportional to 984.64, 1,358.78 and 536.49

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Solution

The fourth proportional to 984.64, 1,358.78 and 536.49 is: 740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.64 : 1,358.78 = 536.49 : x
  2. Step 2: Convert to fraction form
    984.64/1,358.78 = 536.49/x
  3. Step 3: Cross multiply
    984.64x = 1,358.78 × 536.49
  4. Step 4: Simplify right side
    984.64x = 728,973.73
  5. Step 5: Solve for x
    x = 728,973.73/984.64
  6. Step 6: Final answer
    x = 740.35

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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.