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Finding the Fourth Proportional to 2,460.39, 3,690.96 and 816.57

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Solution

The fourth proportional to 2,460.39, 3,690.96 and 816.57 is: 1,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.39 : 3,690.96 = 816.57 : x
  2. Step 2: Convert to fraction form
    2,460.39/3,690.96 = 816.57/x
  3. Step 3: Cross multiply
    2,460.39x = 3,690.96 × 816.57
  4. Step 4: Simplify right side
    2,460.39x = 3,013,927.21
  5. Step 5: Solve for x
    x = 3,013,927.21/2,460.39
  6. Step 6: Final answer
    x = 1,224.98

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1.5x scale

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.