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Finding the Fourth Proportional to 1,615.50, 2,423.25 and 461.25

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Solution

The fourth proportional to 1,615.50, 2,423.25 and 461.25 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.50 : 2,423.25 = 461.25 : x
  2. Step 2: Convert to fraction form
    1,615.50/2,423.25 = 461.25/x
  3. Step 3: Cross multiply
    1,615.50x = 2,423.25 × 461.25
  4. Step 4: Simplify right side
    1,615.50x = 1,117,724.06
  5. Step 5: Solve for x
    x = 1,117,724.06/1,615.50
  6. Step 6: Final answer
    x = 691.88

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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.