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Finding the Fourth Proportional to 1,188.79, 1,639.27 and 816.31

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Solution

The fourth proportional to 1,188.79, 1,639.27 and 816.31 is: 1,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.79 : 1,639.27 = 816.31 : x
  2. Step 2: Convert to fraction form
    1,188.79/1,639.27 = 816.31/x
  3. Step 3: Cross multiply
    1,188.79x = 1,639.27 × 816.31
  4. Step 4: Simplify right side
    1,188.79x = 1,338,152.49
  5. Step 5: Solve for x
    x = 1,338,152.49/1,188.79
  6. Step 6: Final answer
    x = 1,125.64

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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.