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Finding the Fourth Proportional to 2,307.99, 3,461.56 and 664.15

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Solution

The fourth proportional to 2,307.99, 3,461.56 and 664.15 is: 996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.99 : 3,461.56 = 664.15 : x
  2. Step 2: Convert to fraction form
    2,307.99/3,461.56 = 664.15/x
  3. Step 3: Cross multiply
    2,307.99x = 3,461.56 × 664.15
  4. Step 4: Simplify right side
    2,307.99x = 2,298,993.12
  5. Step 5: Solve for x
    x = 2,298,993.12/2,307.99
  6. Step 6: Final answer
    x = 996.10

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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.