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Finding the Fourth Proportional to 2,164.90, 3,246.70 and 604.52

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Solution

The fourth proportional to 2,164.90, 3,246.70 and 604.52 is: 906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.90 : 3,246.70 = 604.52 : x
  2. Step 2: Convert to fraction form
    2,164.90/3,246.70 = 604.52/x
  3. Step 3: Cross multiply
    2,164.90x = 3,246.70 × 604.52
  4. Step 4: Simplify right side
    2,164.90x = 1,962,695.08
  5. Step 5: Solve for x
    x = 1,962,695.08/2,164.90
  6. Step 6: Final answer
    x = 906.60

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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.