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Finding the Fourth Proportional to 1,630.98, 2,446.77 and 535.66

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Solution

The fourth proportional to 1,630.98, 2,446.77 and 535.66 is: 803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.98 : 2,446.77 = 535.66 : x
  2. Step 2: Convert to fraction form
    1,630.98/2,446.77 = 535.66/x
  3. Step 3: Cross multiply
    1,630.98x = 2,446.77 × 535.66
  4. Step 4: Simplify right side
    1,630.98x = 1,310,630.70
  5. Step 5: Solve for x
    x = 1,310,630.70/1,630.98
  6. Step 6: Final answer
    x = 803.58

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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.