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Finding the Fourth Proportional to 2,460.55, 3,690.71 and 611.62

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Solution

The fourth proportional to 2,460.55, 3,690.71 and 611.62 is: 917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.55 : 3,690.71 = 611.62 : x
  2. Step 2: Convert to fraction form
    2,460.55/3,690.71 = 611.62/x
  3. Step 3: Cross multiply
    2,460.55x = 3,690.71 × 611.62
  4. Step 4: Simplify right side
    2,460.55x = 2,257,293.60
  5. Step 5: Solve for x
    x = 2,257,293.60/2,460.55
  6. Step 6: Final answer
    x = 917.40

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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.