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Finding the Fourth Proportional to 2,304.55, 3,457.28 and 661.57

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Solution

The fourth proportional to 2,304.55, 3,457.28 and 661.57 is: 992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.55 : 3,457.28 = 661.57 : x
  2. Step 2: Convert to fraction form
    2,304.55/3,457.28 = 661.57/x
  3. Step 3: Cross multiply
    2,304.55x = 3,457.28 × 661.57
  4. Step 4: Simplify right side
    2,304.55x = 2,287,225.74
  5. Step 5: Solve for x
    x = 2,287,225.74/2,304.55
  6. Step 6: Final answer
    x = 992.48

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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.