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Finding the Fourth Proportional to 2,305.53, 3,457.79 and 661.71

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Solution

The fourth proportional to 2,305.53, 3,457.79 and 661.71 is: 992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.53 : 3,457.79 = 661.71 : x
  2. Step 2: Convert to fraction form
    2,305.53/3,457.79 = 661.71/x
  3. Step 3: Cross multiply
    2,305.53x = 3,457.79 × 661.71
  4. Step 4: Simplify right side
    2,305.53x = 2,288,050.91
  5. Step 5: Solve for x
    x = 2,288,050.91/2,305.53
  6. Step 6: Final answer
    x = 992.42

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1.5x scale

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.