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Finding the Fourth Proportional to 1,630.90, 2,446.29 and 693.88

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Solution

The fourth proportional to 1,630.90, 2,446.29 and 693.88 is: 1,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.90 : 2,446.29 = 693.88 : x
  2. Step 2: Convert to fraction form
    1,630.90/2,446.29 = 693.88/x
  3. Step 3: Cross multiply
    1,630.90x = 2,446.29 × 693.88
  4. Step 4: Simplify right side
    1,630.90x = 1,697,431.71
  5. Step 5: Solve for x
    x = 1,697,431.71/1,630.90
  6. Step 6: Final answer
    x = 1,040.79

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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.