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Finding the Fourth Proportional to 1,798.28, 2,697.56 and 758.08

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Solution

The fourth proportional to 1,798.28, 2,697.56 and 758.08 is: 1,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.28 : 2,697.56 = 758.08 : x
  2. Step 2: Convert to fraction form
    1,798.28/2,697.56 = 758.08/x
  3. Step 3: Cross multiply
    1,798.28x = 2,697.56 × 758.08
  4. Step 4: Simplify right side
    1,798.28x = 2,044,966.28
  5. Step 5: Solve for x
    x = 2,044,966.28/1,798.28
  6. Step 6: Final answer
    x = 1,137.18

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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.