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Finding the Fourth Proportional to 1,630.78, 2,446 and 460.75

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Solution

The fourth proportional to 1,630.78, 2,446 and 460.75 is: 691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.78 : 2,446 = 460.75 : x
  2. Step 2: Convert to fraction form
    1,630.78/2,446 = 460.75/x
  3. Step 3: Cross multiply
    1,630.78x = 2,446 × 460.75
  4. Step 4: Simplify right side
    1,630.78x = 1,126,994.50
  5. Step 5: Solve for x
    x = 1,126,994.50/1,630.78
  6. Step 6: Final answer
    x = 691.08

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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.