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Finding the Fourth Proportional to 2,304.98, 3,457.99 and 661.40

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Solution

The fourth proportional to 2,304.98, 3,457.99 and 661.40 is: 992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.98 : 3,457.99 = 661.40 : x
  2. Step 2: Convert to fraction form
    2,304.98/3,457.99 = 661.40/x
  3. Step 3: Cross multiply
    2,304.98x = 3,457.99 × 661.40
  4. Step 4: Simplify right side
    2,304.98x = 2,287,121.58
  5. Step 5: Solve for x
    x = 2,287,121.58/2,304.98
  6. Step 6: Final answer
    x = 992.25

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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.