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Finding the Fourth Proportional to 1,630.56, 2,445.69 and 460.55

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Solution

The fourth proportional to 1,630.56, 2,445.69 and 460.55 is: 690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.56 : 2,445.69 = 460.55 : x
  2. Step 2: Convert to fraction form
    1,630.56/2,445.69 = 460.55/x
  3. Step 3: Cross multiply
    1,630.56x = 2,445.69 × 460.55
  4. Step 4: Simplify right side
    1,630.56x = 1,126,370.37
  5. Step 5: Solve for x
    x = 1,126,370.37/1,630.56
  6. Step 6: Final answer
    x = 690.79

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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.