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Finding the Fourth Proportional to 984.96, 1,359.52 and 571.04

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Solution

The fourth proportional to 984.96, 1,359.52 and 571.04 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,359.52 = 571.04 : x
  2. Step 2: Convert to fraction form
    984.96/1,359.52 = 571.04/x
  3. Step 3: Cross multiply
    984.96x = 1,359.52 × 571.04
  4. Step 4: Simplify right side
    984.96x = 776,340.30
  5. Step 5: Solve for x
    x = 776,340.30/984.96
  6. Step 6: Final answer
    x = 788.19

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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.