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Finding the Fourth Proportional to 1,142.33, 1,711.35 and 653.90

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Solution

The fourth proportional to 1,142.33, 1,711.35 and 653.90 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.33 : 1,711.35 = 653.90 : x
  2. Step 2: Convert to fraction form
    1,142.33/1,711.35 = 653.90/x
  3. Step 3: Cross multiply
    1,142.33x = 1,711.35 × 653.90
  4. Step 4: Simplify right side
    1,142.33x = 1,119,043.21
  5. Step 5: Solve for x
    x = 1,119,043.21/1,142.33
  6. Step 6: Final answer
    x = 979.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.