Home / 1,242.02-1,712.82-946.78

Finding the Fourth Proportional to 1,242.02, 1,712.82 and 946.78

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Solution

The fourth proportional to 1,242.02, 1,712.82 and 946.78 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.02 : 1,712.82 = 946.78 : x
  2. Step 2: Convert to fraction form
    1,242.02/1,712.82 = 946.78/x
  3. Step 3: Cross multiply
    1,242.02x = 1,712.82 × 946.78
  4. Step 4: Simplify right side
    1,242.02x = 1,621,659.44
  5. Step 5: Solve for x
    x = 1,621,659.44/1,242.02
  6. Step 6: Final answer
    x = 1,305.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.