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Finding the Fourth Proportional to 1,798.52, 2,697.68 and 499.94

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Solution

The fourth proportional to 1,798.52, 2,697.68 and 499.94 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.52 : 2,697.68 = 499.94 : x
  2. Step 2: Convert to fraction form
    1,798.52/2,697.68 = 499.94/x
  3. Step 3: Cross multiply
    1,798.52x = 2,697.68 × 499.94
  4. Step 4: Simplify right side
    1,798.52x = 1,348,678.14
  5. Step 5: Solve for x
    x = 1,348,678.14/1,798.52
  6. Step 6: Final answer
    x = 749.88

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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.