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Finding the Fourth Proportional to 1,188.40, 1,640.46 and 784.56

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Solution

The fourth proportional to 1,188.40, 1,640.46 and 784.56 is: 1,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.40 : 1,640.46 = 784.56 : x
  2. Step 2: Convert to fraction form
    1,188.40/1,640.46 = 784.56/x
  3. Step 3: Cross multiply
    1,188.40x = 1,640.46 × 784.56
  4. Step 4: Simplify right side
    1,188.40x = 1,287,039.30
  5. Step 5: Solve for x
    x = 1,287,039.30/1,188.40
  6. Step 6: Final answer
    x = 1,083.00

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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.