Home / 1,670.28-2,305.31-962.60

Finding the Fourth Proportional to 1,670.28, 2,305.31 and 962.60

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Solution

The fourth proportional to 1,670.28, 2,305.31 and 962.60 is: 1,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.28 : 2,305.31 = 962.60 : x
  2. Step 2: Convert to fraction form
    1,670.28/2,305.31 = 962.60/x
  3. Step 3: Cross multiply
    1,670.28x = 2,305.31 × 962.60
  4. Step 4: Simplify right side
    1,670.28x = 2,219,091.41
  5. Step 5: Solve for x
    x = 2,219,091.41/1,670.28
  6. Step 6: Final answer
    x = 1,328.57

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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.