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Finding the Fourth Proportional to 1,661.38, 2,491.92 and 507.14

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Solution

The fourth proportional to 1,661.38, 2,491.92 and 507.14 is: 760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.38 : 2,491.92 = 507.14 : x
  2. Step 2: Convert to fraction form
    1,661.38/2,491.92 = 507.14/x
  3. Step 3: Cross multiply
    1,661.38x = 2,491.92 × 507.14
  4. Step 4: Simplify right side
    1,661.38x = 1,263,752.31
  5. Step 5: Solve for x
    x = 1,263,752.31/1,661.38
  6. Step 6: Final answer
    x = 760.66

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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.