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Finding the Fourth Proportional to 2,305.41, 3,458.16 and 661.98

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Solution

The fourth proportional to 2,305.41, 3,458.16 and 661.98 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.41 : 3,458.16 = 661.98 : x
  2. Step 2: Convert to fraction form
    2,305.41/3,458.16 = 661.98/x
  3. Step 3: Cross multiply
    2,305.41x = 3,458.16 × 661.98
  4. Step 4: Simplify right side
    2,305.41x = 2,289,232.76
  5. Step 5: Solve for x
    x = 2,289,232.76/2,305.41
  6. Step 6: Final answer
    x = 992.98

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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.