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Finding the Fourth Proportional to 2,304.61, 3,457.42 and 661.03

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Solution

The fourth proportional to 2,304.61, 3,457.42 and 661.03 is: 991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.61 : 3,457.42 = 661.03 : x
  2. Step 2: Convert to fraction form
    2,304.61/3,457.42 = 661.03/x
  3. Step 3: Cross multiply
    2,304.61x = 3,457.42 × 661.03
  4. Step 4: Simplify right side
    2,304.61x = 2,285,451.76
  5. Step 5: Solve for x
    x = 2,285,451.76/2,304.61
  6. Step 6: Final answer
    x = 991.69

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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.